Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners
DOWNLOAD
Download Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners
DOWNLOAD
Author : Thomas Kerler
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-09-11
Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners written by Thomas Kerler 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 2001-09-11 with Mathematics categories.
This book presents the (to date) most general approach to combinatorial constructions of topological quantum field theories (TQFTs) in three dimensions. The authors describe extended TQFTs as double functors between two naturally defined double categories: one of topological nature, made of 3-manifolds with corners, the other of algebraic nature, made of linear categories, functors, vector spaces and maps. Atiyah's conventional notion of TQFTs as well as the notion of modular functor from axiomatic conformal field theory are unified in this concept. A large class of such extended modular catergory is constructed, assigning a double functor to every abelian modular category, which does not have to be semisimple.
Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners
DOWNLOAD
Author : Thomas Kerler
language : en
Publisher:
Release Date : 2014-09-01
Non Semisimple Topological Quantum Field Theories For 3 Manifolds With Corners written by Thomas Kerler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Non Semisimple Extended Topological Quantum Field Theories
DOWNLOAD
Author : Marco De Renzi
language : en
Publisher: American Mathematical Society
Release Date : 2022-05-24
Non Semisimple Extended Topological Quantum Field Theories written by Marco De Renzi 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 2022-05-24 with Mathematics categories.
View the abstract.
Monoidal Categories And Topological Field Theory
DOWNLOAD
Author : Vladimir Turaev
language : en
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.
Transseries And Real Differential Algebra
DOWNLOAD
Author : Joris van der Hoeven
language : en
Publisher: Springer
Release Date : 2006-10-31
Transseries And Real Differential Algebra written by Joris van der Hoeven and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-31 with Mathematics categories.
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.
Monotone Random Systems Theory And Applications
DOWNLOAD
Author : Igor Chueshov
language : en
Publisher: Springer
Release Date : 2004-10-11
Monotone Random Systems Theory And Applications written by Igor Chueshov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-11 with Mathematics categories.
The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.
Matrix Inequalities
DOWNLOAD
Author : Xingzhi Zhan
language : en
Publisher: Springer
Release Date : 2004-10-19
Matrix Inequalities written by Xingzhi Zhan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.
The main purpose of this monograph is to report on recent developments in the field of matrix inequalities, with emphasis on useful techniques and ingenious ideas. Among other results this book contains the affirmative solutions of eight conjectures. Many theorems unify or sharpen previous inequalities. The author's aim is to streamline the ideas in the literature. The book can be read by research workers, graduate students and advanced undergraduates.
Manis Valuations And Pr Fer Extensions I
DOWNLOAD
Author : Manfred Knebusch
language : en
Publisher: Springer
Release Date : 2004-10-19
Manis Valuations And Pr Fer Extensions I written by Manfred Knebusch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Mathematics categories.
The present book is devoted to a study of relative Prüfer rings and Manis valuations, with an eye to application in real and p-adic geometry. If one wants to expand on the usual algebraic geometry over a non-algebraically closed base field, e.g. a real closed field or p-adically closed field, one typically meets lots of valuation domains. Usually they are not discrete and hence not noetherian. Thus, for a further develomemt of real algebraic and real analytic geometry in particular, and certainly also rigid analytic and p-adic geometry, new chapters of commutative algebra are needed, often of a non-noetherian nature. The present volume presents one such chapter.
Lie Algebras Vertex Operator Algebras And Their Applications
DOWNLOAD
Author : Yi-Zhi Huang
language : en
Publisher: American Mathematical Soc.
Release Date : 2007
Lie Algebras Vertex Operator Algebras And Their Applications written by Yi-Zhi Huang 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 2007 with Mathematics categories.
The articles in this book are based on talks given at the international conference 'Lie algebras, vertex operator algebras and their applications'. The focus of the papers is mainly on Lie algebras, quantum groups, vertex operator algebras and their applications to number theory, combinatorics and conformal field theory.
S Minaire De Probabilit S Xxxvii
DOWNLOAD
Author : Jacques Azéma
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-26
S Minaire De Probabilit S Xxxvii written by Jacques Azéma 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 2003-11-26 with Mathematics categories.
The 37th Séminaire de Probabilités contains A. Lejay's advanced course which is a pedagogical introduction to works by T. Lyons and others on stochastic integrals and SDEs driven by deterministic rough paths. The rest of the volume consists of various articles on topics familiar to regular readers of the Séminaires, including Brownian motion, random environment or scenery, PDEs and SDEs, random matrices and financial random processes.