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Higher Structures In Geometry And Physics


Higher Structures In Geometry And Physics
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Higher Structures In Topology Geometry And Physics


Higher Structures In Topology Geometry And Physics
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Author : Ralph M. Kaufmann
language : en
Publisher: American Mathematical Society
Release Date : 2024-07-03

Higher Structures In Topology Geometry And Physics written by Ralph M. Kaufmann and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-03 with Mathematics categories.


This volume contains the proceedings of the AMS Special Session on Higher Structures in Topology, Geometry, and Physics, held virtually on March 26–27, 2022. The articles give a snapshot survey of the current topics surrounding the mathematical formulation of field theories. There is an intricate interplay between geometry, topology, and algebra which captures these theories. The hallmark are higher structures, which one can consider as the secondary algebraic or geometric background on which the theories are formulated. The higher structures considered in the volume are generalizations of operads, models for conformal field theories, string topology, open/closed field theories, BF/BV formalism, actions on Hochschild complexes and related complexes, and their geometric and topological aspects.



Higher Structures In Geometry And Physics


Higher Structures In Geometry And Physics
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Author : Alberto S. Cattaneo
language : en
Publisher: Birkhäuser
Release Date : 2010-12-03

Higher Structures In Geometry And Physics written by Alberto S. Cattaneo and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-03 with Mathematics categories.


This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.



Higher Structures In Geometry And Physics


Higher Structures In Geometry And Physics
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Author : Alberto S. Cattaneo
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25

Higher Structures In Geometry And Physics written by Alberto S. Cattaneo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.


This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics— such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics— and in theoretical physics such as quantum field theory and string theory. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures.



Higher Structures In Geometry And Physics


Higher Structures In Geometry And Physics
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Author : Alberto S. Cattaneo
language : en
Publisher:
Release Date : 2011-03-30

Higher Structures In Geometry And Physics written by Alberto S. Cattaneo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-30 with categories.






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Author :
language : en
Publisher: World Scientific
Release Date :

written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




2016 Matrix Annals


2016 Matrix Annals
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Author : Jan de Gier
language : en
Publisher: Springer
Release Date : 2018-04-10

2016 Matrix Annals written by Jan de Gier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-10 with Mathematics categories.


MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. This book is a scientific record of the five programs held at MATRIX in its first year, 2016: - Higher Structures in Geometry and Physics - Winter of Disconnectedness - Approximation and Optimisation - Refining C*-Algebraic Invariants for Dynamics using KK-theory - Interactions between Topological Recursion, Modularity, Quantum Invariants and Low- dimensional Topology The MATRIX Scientific Committee selected these programs based on their scientific excellence and the participation rate of high-profile international participants. Each program included ample unstructured time to encourage collaborative research; some of the longer programs also included an embedded conference or lecture series. The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on selected topics related to the MATRIX program; the remaining contributions are predominantly lecture notes based on talks or activities at MATRIX.



Topics In Noncommutative Geometry


Topics In Noncommutative Geometry
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Author : Guillermo Cortiñas
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Topics In Noncommutative Geometry written by Guillermo Cortiñas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


Luis Santalo Winter Schools are organized yearly by the Mathematics Department and the Santalo Mathematical Research Institute of the School of Exact and Natural Sciences of the University of Buenos Aires (FCEN). This volume contains the proceedings of the third Luis Santalo Winter School which was devoted to noncommutative geometry and held at FCEN July 26-August 6, 2010. Topics in this volume concern noncommutative geometry in a broad sense, encompassing various mathematical and physical theories that incorporate geometric ideas to the study of noncommutative phenomena. It explores connections with several areas including algebra, analysis, geometry, topology and mathematical physics. Bursztyn and Waldmann discuss the classification of star products of Poisson structures up to Morita equivalence. Tsygan explains the connections between Kontsevich's formality theorem, noncommutative calculus, operads and index theory. Hoefel presents a concrete elementary construction in operad theory. Meyer introduces the subject of $\mathrm{C}^*$-algebraic crossed products. Rosenberg introduces Kasparov's $KK$-theory and noncommutative tori and includes a discussion of the Baum-Connes conjecture for $K$-theory of crossed products, among other topics. Lafont, Ortiz, and Sanchez-Garcia carry out a concrete computation in connection with the Baum-Connes conjecture. Zuk presents some remarkable groups produced by finite automata. Mesland discusses spectral triples and the Kasparov product in $KK$-theory. Trinchero explores the connections between Connes' noncommutative geometry and quantum field theory. Karoubi demonstrates a construction of twisted $K$-theory by means of twisted bundles. Tabuada surveys the theory of noncommutative motives.



Geometry Groups And Mathematical Philosophy


Geometry Groups And Mathematical Philosophy
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Author : Krishnendu Gongopadhyay
language : en
Publisher: American Mathematical Society
Release Date : 2025-02-21

Geometry Groups And Mathematical Philosophy written by Krishnendu Gongopadhyay and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Mathematics categories.


This volume contains the proceedings of the International Conference on Geometry, Groups and Mathematical Philosophy, held in honor of Ravindra S. Kulkarni's 80th birthday. Talks at the conference touched all the areas that intrigued Ravi Kulkarni over the years. Accordingly, the conference was divided into three parts: differential geometry, symmetries arising in geometric and general mathematics, mathematical philosophy and Indian mathematics. The volume also includes an expanded version of Kulkarni's lecture and a brief autobiography.



Associahedra Tamari Lattices And Related Structures


Associahedra Tamari Lattices And Related Structures
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Author : Folkert Müller-Hoissen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-13

Associahedra Tamari Lattices And Related Structures written by Folkert Müller-Hoissen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-13 with Mathematics categories.


Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.



Deformation Theory Of Algebras And Their Diagrams


Deformation Theory Of Algebras And Their Diagrams
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Author : Martin Markl
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Deformation Theory Of Algebras And Their Diagrams written by Martin Markl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.


This book brings together both the classical and current aspects of deformation theory. The presentation is mostly self-contained, assuming only basic knowledge of commutative algebra, homological algebra and category theory. In the interest of readability, some technically complicated proofs have been omitted when a suitable reference was available. The relation between the uniform continuity of algebraic maps and topologized tensor products is explained in detail, however, as this subject does not seem to be commonly known and the literature is scarce. The exposition begins by recalling Gerstenhaber's classical theory for associative algebras. The focus then shifts to a homotopy-invariant setup of Maurer-Cartan moduli spaces. As an application, Kontsevich's approach to deformation quantization of Poisson manifolds is reviewed. Then, after a brief introduction to operads, a strongly homotopy Lie algebra governing deformations of (diagrams of) algebras of a given type is described, followed by examples and generalizations.