Topological Fields
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Topological Fields
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Author : S. Warner
language : en
Publisher: Elsevier
Release Date : 1989-06-01
Topological Fields written by S. Warner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-06-01 with Mathematics categories.
Aimed at those acquainted with basic point-set topology and algebra, this text goes up to the frontiers of current research in topological fields (more precisely, topological rings that algebraically are fields).The reader is given enough background to tackle the current literature without undue additional preparation. Many results not in the text (and many illustrations by example of theorems in the text) are included among the exercises. Sufficient hints for the solution of the exercises are offered so that solving them does not become a major research effort for the reader. A comprehensive bibliography completes the volume.
Topological Fields
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Author : Witold Więsław
language : en
Publisher:
Release Date : 1988
Topological Fields written by Witold Więsław and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Topological Field Theory Primitive Forms And Related Topics
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Author : A. Kashiwara
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topological Field Theory Primitive Forms And Related Topics written by A. Kashiwara 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 2012-12-06 with Mathematics categories.
As the interaction of mathematics and theoretical physics continues to intensify, the theories developed in mathematics are being applied to physics, and conversely. This book centers around the theory of primitive forms which currently plays an active and key role in topological field theory (theoretical physics), but was originally developed as a mathematical notion to define a "good period mapping" for a family of analytic structures. The invited papers in this volume are expository in nature by participants of the Taniguchi Symposium on "Topological Field Theory, Primitive Forms and Related Topics" and the RIMS Symposium bearing the same title, both held in Kyoto. The papers reflect the broad research of some of the world's leading mathematical physicists, and should serve as an excellent resource for researchers as well as graduate students of both disciplines.
Topological Fields And Near Valuations
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Author : Niel Shell
language : en
Publisher: CRC Press
Release Date : 2021-06-23
Topological Fields And Near Valuations written by Niel Shell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-23 with Mathematics categories.
Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory.
Topological Fields And Near Valuations
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Author : niel shell
language : en
Publisher: CRC Press
Release Date : 1990-06-12
Topological Fields And Near Valuations written by niel shell and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-06-12 with Mathematics categories.
Part I (eleven chapters) of this text for graduate students provides a Survey of topological fields, while Part II (five chapters) provides a relatively more idiosyncratic account of valuation theory. No exercises but a good number of examples; appendices support the author in his intent, which ha
The Classical Fields
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Author : H. Salzmann
language : en
Publisher: Cambridge University Press
Release Date : 2007-08-23
The Classical Fields written by H. Salzmann 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 2007-08-23 with Mathematics categories.
The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.
Strings Conformal Fields And Topology
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Author : Michio Kaku
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Strings Conformal Fields And Topology written by Michio Kaku 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 2012-12-06 with Science categories.
Following on the foundations laid in his earlier book "Introduction to Superstrings", Professor Kaku discusses such topics as the classification of conformal string theories, the non-polynomial closed string field theory, matrix models, and topological field theory. The presentation of the material is self-contained, and several chapters review material expounded in the earlier book. This book provides students with an understanding of the main areas of current progress in string theory, placing the reader at the forefront of current research.
Monoidal Categories And Topological Field Theory
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Author : Vladimir Turaev
language : ru
Publisher: Birkhäuser
Release Date : 2017-06-28
Monoidal Categories And Topological Field Theory written by Vladimir Turaev and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-28 with Mathematics categories.
This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.
Topological Groups And The Pontryagin Van Kampen Duality
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Author : Lydia Außenhofer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22
Topological Groups And The Pontryagin Van Kampen Duality written by Lydia Außenhofer and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.
This book provides an introduction to topological groups and the structure theory of locally compact abelian groups, with a special emphasis on Pontryagin-van Kampen duality, including a completely self-contained elementary proof of the duality theorem. Further related topics and applications are treated in separate chapters and in the appendix.
Topological Model Theory
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Author : Jörg Flum
language : en
Publisher: Springer
Release Date : 2006-11-14
Topological Model Theory written by Jörg Flum and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.