Higher Structures In Geometry And Physics

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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 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

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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

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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.

Geometry And Physics

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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-17

Geometry And Physics written by Jürgen Jost 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 2009-08-17 with Mathematics categories.

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an introduction to modern geometry as needed and utilized in modern physics. Jürgen Jost, a well-known research mathematician and advanced textbook author, also develops important geometric concepts and methods that can be used for the structures of physics. In particular, he discusses the Lagrangians of the standard model and its supersymmetric extensions from a geometric perspective.

A Course In Modern Mathematical Physics

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Author : Peter Szekeres
language : en
Publisher: Cambridge University Press
Release Date : 2004-12-16

A Course In Modern Mathematical Physics written by Peter Szekeres and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12-16 with Mathematics categories.

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

New Foundations For Physical Geometry

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Author : Tim Maudlin
language : en
Publisher:
Release Date : 2014-02

New Foundations For Physical Geometry written by Tim Maudlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Mathematics categories.

Tim Maudlin sets out a completely new method for describing the geometrical structure of spaces, and thus a better mathematical tool for describing and understanding space-time. He presents a historical review of the development of geometry and topology, and then his original Theory of Linear Structures.

Physics For Mathematicians

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Author : Michael Spivak
language : en
Publisher:
Release Date : 2010

Physics For Mathematicians written by Michael Spivak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mechanics categories.

Riemann Topology And Physics

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Author : Michael I. Monastyrsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-08

Riemann Topology And Physics written by Michael I. Monastyrsky 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 2009-06-08 with Mathematics categories.

Ten years have passed since the publication of the first English edition. "Ten years is a long time, even when you are not in jail. " If we recall that the article on Riemann appeared in (Nature) in 1976, this Russian vaudeville joke is more than - propriate. Only the author's youth can account for the insane enterprise of presenting the scientific achievements and the biography of Riemann in 60 pages and the c- nection between physics and topology in the same space. Judging from the fact that the book sold out and got favorable reviews, there is a demand for publications of this type. It seems to me that popularizations aimed not at a narrow specialist but at a broader reader are especially needed nowadays. Specialists obtain information in their fields almost instantly thanks to the Internet, but to find out what is happening in contiguous fields, what problems and results are of great interest here, is not at all easy. Returning to my own book, I note with a certain pride that at least I seem to have evaluated accurately the trends in the development of theoretical physics. It is the combination of physics with topology and algebraic geometry that has led to the brightest achievements of mathematical physics in the last decade. It suffices to note the remarkable results of S.

Algebraic Structure Of String Field Theory

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Author : Martin Doubek
language : en
Publisher: Springer Nature
Release Date : 2020-11-22

Algebraic Structure Of String Field Theory written by Martin Doubek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-22 with Science categories.

This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.