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Author  Title  Accn#  Year  Item Type  Claims 
1 
Carfora, Mauro 
Quantum Triangulations 
I09664 
2017 
eBook 

2 
Platania, Alessia Benedetta 
Asymptotically Safe Gravity 
I08869 
2018 
eBook 

3 
Marmo, G 
Classical and Quantum Physics 
I08690 
2019 
eBook 

4 
Szabo, Richard J 
Equivariant Cohomology and Localization of Path Integrals 
I11316 
2000 
eBook 

5 
Gordon, B. Brent 
The Arithmetic and Geometry of Algebraic Cycles 
I10736 
2000 
eBook 

6 
Maeda, Yoshiaki 
Noncommutative Differential Geometry and Its Applications to Physics 
I10561 
2001 
eBook 

7 
Bandyopadhyay, P 
Geometry, Topology and Quantum Field Theory 
I10559 
2003 
eBook 

8 
Blanchard, Philipp 
Random Walks and Diffusions on Graphs and Databases 
I07722 
2011 
eBook 

9 
Schottenloher, Martin 
A Mathematical Introduction to Conformal Field Theory 
I07652 
2008 
eBook 

10 
Fursaev, Dmitri 
Operators, Geometry and Quanta 
I07445 
2011 
eBook 


1.


Title  Quantum Triangulations : Moduli Space, Quantum Computing, NonLinear Sigma Models and Ricci Flow 
Author(s)  Carfora, Mauro;Marzuoli, Annalisa 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2017. 
Description  XX, 392 p. 113 illus., 92 illus. in color : online resource 
Abstract Note  This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is also often a consequence of an underlying structure that naturally calls into play nontrivial aspects of representation theory, complex analysis and topology in a way that makes the basic geometric structures of the physical interactions involved clear. This second edition further emphasizes the essential role that triangulations play in modern mathematical physics, with a new and highly detailed chapter on the geometry of the dilatonic nonlinear sigma model and its subtle and manyfaceted connection with Ricci flow theory. This connection is treated in depth, pinpointing both the mathematical and physical aspects of the perturbative embedding of the Ricci flow in the renormalization group flow of nonlinear sigma models. The geometry of the dilaton field is discussed from a novel standpoint by using polyhedral manifolds and Riemannian metric measure spaces, emphasizing their role in connecting nonlinear sigma models??? effective action to Perelman???s energyfunctional. No other published account of this matter is so detailed and informative. This new edition also features an expanded appendix on Riemannian geometry, and a rich set of new illustrations to help the reader grasp the more difficult points of the theory. The book offers a valuable guide for all mathematicians and theoretical physicists working in the field of quantum geometry and its ??applications 
ISBN,Price  9783319679372 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. EBOOK
4. EBOOK  SPRINGER
5. GRAVITATION
6. Manifolds (Mathematics)
7. Manifolds and Cell Complexes (incl. Diff.Topology)
8. Mathematical Applications in the Physical Sciences
9. MATHEMATICAL PHYSICS
10. Numerical and Computational Physics, Simulation
11. PHYSICS
12. QUANTUM PHYSICS

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2.


Title  Asymptotically Safe Gravity : From Spacetime Foliation to Cosmology 
Author(s)  Platania, Alessia Benedetta 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2018. 
Description  XV, 142 p. 87 illus., 13 illus. in color : online resource 
Abstract Note  This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in presentday physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of ???Asymptotic Safety??? originally proposed by S. Weinberg. Quite remarkably, the book makes significant progress regarding both the fundamental aspects of the program and its phenomenological consequences. The conceptual developments pioneer the construction of a wellbehaved functional renormalization group equation adapted to spacetimes with a preferred timedirection. It is demonstrated that the Asymptotic Safety mechanism persists in this setting and extends to many phenomenologically interesting gravitymatter systems. These achievements constitute groundbreaking steps towards bridging the gap between quantum gravity in Euclidean and Lorentzian spacetimes. The phenomenological applications cover core topics in quantum gravity, e.g. constructing a phenomenologically viable cosmological evolution based on quantum gravity effects in the very early universe, and analyzing quantum corrections to black holes forming from a spherical collapse. As a key feature, all developments are presented in a comprehensive and accessible way. This makes the work a timely and valuable guide into the rapidly evolving field of Asymptotic Safety 
ISBN,Price  9783319987941 
Keyword(s)  1. Classical and Quantum Gravitation, Relativity Theory
2. COMPLEX MANIFOLDS
3. COSMOLOGY
4. EBOOK
5. EBOOK  SPRINGER
6. GRAVITATION
7. Manifolds (Mathematics)
8. Manifolds and Cell Complexes (incl. Diff.Topology)

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Call#  Status  Issued To  Return Due On  Physical Location 
I08869 


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3.


Title  Classical and Quantum Physics : 60 Years Alberto Ibort Fest Geometry, Dynamics, and Control 
Author(s)  Marmo, G;Mart??n de Diego, David;Mu??oz Lecanda, Miguel 
Publication  Cham, 1. Imprint: Springer
2. Springer International Publishing, 2019. 
Description  XXVI, 374 p. 46 illus., 14 illus. in color : online resource 
Abstract Note  This proceedings is based on the interdisciplinary workshop held in Madrid, 59 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas. Most of Albertos???s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics. Let us mention some of the fields of expertise of Alberto Ibort: Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; YangMills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; WignerWeyl formalism; LieJordan Algebras, Classical and Quantum; QuantumtoClassical transition; Contraction of Associative Algebras; contact geometry, among many others. In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic. His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed 
ISBN,Price  9783030247485 
Keyword(s)  1. Associative rings
2. Associative Rings and Algebras
3. CALCULUS OF VARIATIONS
4. Calculus of Variations and Optimal Control; Optimization
5. COMPLEX MANIFOLDS
6. DIFFERENTIAL GEOMETRY
7. EBOOK
8. EBOOK  SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. MATHEMATICAL PHYSICS
12. Rings (Algebra)
13. Theoretical, Mathematical and Computational Physics

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Call#  Status  Issued To  Return Due On  Physical Location 
I08690 


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4.


Title  Equivariant Cohomology and Localization of Path Integrals 
Author(s)  Szabo, Richard J 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2000. 
Description  XI, 315 p : online resource 
Abstract Note  This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented 
ISBN,Price  9783540465508 
Keyword(s)  1. ALGEBRAIC TOPOLOGY
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. GLOBAL ANALYSIS (MATHEMATICS)
7. Global Analysis and Analysis on Manifolds
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. NUCLEAR PHYSICS
11. Particle and Nuclear Physics
12. PHYSICS
13. QUANTUM FIELD THEORY
14. TOPOLOGY

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Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
I11316 


On Shelf 




5.


Title  The Arithmetic and Geometry of Algebraic Cycles 
Author(s)  Gordon, B. Brent;Lewis, James D;M??llerStach, Stefan;Saito, Shuji;Yui, Noriko 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2000. 
Description  XXX, 615 p : online resource 
Abstract Note  The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al?? berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kickoff activity of the CRM 199899 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands,  mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec?? tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic?? ipants. In addition, participants' reprints and preprints were displayed through?? out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction 
ISBN,Price  9789401140980 
Keyword(s)  1. ALGEBRA
2. ALGEBRAIC GEOMETRY
3. Applications of Mathematics
4. APPLIED MATHEMATICS
5. EBOOK
6. EBOOK  SPRINGER
7. ENGINEERING MATHEMATICS
8. Field theory (Physics)
9. Field Theory and Polynomials
10. GLOBAL ANALYSIS (MATHEMATICS)
11. Global Analysis and Analysis on Manifolds
12. KTHEORY
13. Manifolds (Mathematics)

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Call#  Status  Issued To  Return Due On  Physical Location 
I10736 


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6.


Title  Noncommutative Differential Geometry and Its Applications to Physics : Proceedings of the Workshop at Shonan, Japan, June 1999 
Author(s)  Maeda, Yoshiaki;Moriyoshi, Hitoshi;Omori, Hideki;Sternheimer, Daniel;Tate, Tatsuya;Watamura, Satoshi 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2001. 
Description  VIII, 308 p : online resource 
Abstract Note  Noncommutative differential geometry is a new approach to classical geometry. It was originally used by Fields Medalist A. Connes in the theory of foliations, where it led to striking extensions of AtiyahSinger index theory. It also may be applicable to hitherto unsolved geometric phenomena and physical experiments. However, noncommutative differential geometry was not well understood even among mathematicians. Therefore, an international symposium on commutative differential geometry and its applications to physics was held in Japan, in July 1999. Topics covered included: deformation problems, Poisson groupoids, operad theory, quantization problems, and Dbranes. The meeting was attended by both mathematicians and physicists, which resulted in interesting discussions. This volume contains the refereed proceedings of this symposium. Providing a state of the art overview of research in these topics, this book is suitable as a source book for a seminar in noncommutative geometry and physics 
ISBN,Price  9789401007047 
Keyword(s)  1. DIFFERENTIAL GEOMETRY
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. GLOBAL ANALYSIS (MATHEMATICS)
7. Global Analysis and Analysis on Manifolds
8. INTEGRAL TRANSFORMS
9. Integral Transforms, Operational Calculus
10. Manifolds (Mathematics)
11. Operational calculus
12. QUANTUM FIELD THEORY
13. QUANTUM PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I10561 


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8.


Title  Random Walks and Diffusions on Graphs and Databases : An Introduction 
Author(s)  Blanchard, Philipp;Volchenkov, Dimitri 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2011. 
Description  XIV, 262 p : online resource 
Abstract Note  Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on such graphs. The methods based on random walks and diffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a number of applications such diverse as electric resistance networks, estimation of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks 
ISBN,Price  9783642195921 
Keyword(s)  1. Applications of Graph Theory and Complex Networks
2. COMPLEX MANIFOLDS
3. COMPLEXITY
4. COMPUTATIONAL COMPLEXITY
5. Data structures (Computer science)
6. Data Structures and Information Theory
7. EBOOK
8. EBOOK  SPRINGER
9. Manifolds (Mathematics)
10. Manifolds and Cell Complexes (incl. Diff.Topology)
11. PHYSICS

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Call#  Status  Issued To  Return Due On  Physical Location 
I07722 


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9.


Title  A Mathematical Introduction to Conformal Field Theory 
Author(s)  Schottenloher, Martin 
Publication  Berlin, Heidelberg, 1. Imprint: Springer
2. Springer Berlin Heidelberg, 2008. 
Description  XV, 249 p : online resource 
Abstract Note  The first part of this book gives a detailed, selfcontained and mathematically rigorous exposition of classical conformal symmetry in n dimensions and its quantization in two dimensions. In particular, the conformal groups are determined and the appearance of the Virasoro algebra in the context of the quantization of twodimensional conformal symmetry is explained via the classification of central extensions of Lie algebras and groups. The second part surveys some more advanced topics of conformal field theory, such as the representation theory of the Virasoro algebra, conformal symmetry within string theory, an axiomatic approach to Euclidean conformally covariant quantum field theory and a mathematical interpretation of the Verlinde formula in the context of moduli spaces of holomorphic vector bundles on a Riemann surface. The substantially revised and enlarged second edition makes in particular the second part of the book more selfcontained and tutorial, with many more examples given. Furthermore, two new chapters on Wightman's axioms for quantum field theory and vertex algebras broaden the survey of advanced topics. An outlook making the connection with most recent developments has also been added 
ISBN,Price  9783540686286 
Keyword(s)  1. ALGEBRA
2. EBOOK
3. EBOOK  SPRINGER
4. Elementary particles (Physics)
5. Elementary Particles, Quantum Field Theory
6. GLOBAL ANALYSIS (MATHEMATICS)
7. Global Analysis and Analysis on Manifolds
8. Manifolds (Mathematics)
9. Mathematical Methods in Physics
10. PHYSICS
11. Quantum Field Theories, String Theory
12. QUANTUM FIELD THEORY
13. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I07652 


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10.
 
Title  Operators, Geometry and Quanta : Methods of Spectral Geometry in Quantum Field Theory 
Author(s)  Fursaev, Dmitri;Vassilevich, Dmitri 
Publication  Dordrecht, 1. Imprint: Springer
2. Springer Netherlands, 2011. 
Description  XVI, 288 p : online resource 
Abstract Note  This book gives a detailed and selfcontained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finitetemperature field theory, Dbranes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (Dbranes, quantum solitons, anomalies, noncommutativity). More than hundred exercises together with their solutions are included.??This book addresses advanced graduate students and researchers in mathematical physics and in neighbouring areas??with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions 
ISBN,Price  9789400702059 
Keyword(s)  1. EBOOK
2. EBOOK  SPRINGER
3. GLOBAL ANALYSIS (MATHEMATICS)
4. Global Analysis and Analysis on Manifolds
5. Manifolds (Mathematics)
6. Mathematical Methods in Physics
7. PHYSICS
8. Quantum Field Theories, String Theory
9. QUANTUM FIELD THEORY
10. STRING THEORY

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Call#  Status  Issued To  Return Due On  Physical Location 
I07445 


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