Lectures on Factorization Homology, ∞-Categories, and Topological Field Theories, Tanaka Hiro Lee

Автор: Schenzel
Название: Completion, ?ech and Local Homology and Cohomology
ISBN: 3319965166 ISBN-13(EAN): 9783319965161
Издательство: Springer
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Описание: The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities formulas.

Автор: Akbulut Selman, McCarthy John D.
Название: Casson`s Invariant for Oriented Homology Three-Spheres: An Exposition. (Mn-36)
ISBN: 0691636087 ISBN-13(EAN): 9780691636085
Издательство: Wiley
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Описание: In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman Akbulut and John McCarthy held a seminar on this invariant. These no

Автор: Greg Friedman
Название: Singular Intersection Homology
ISBN: 1107150744 ISBN-13(EAN): 9781107150744
Издательство: Cambridge Academ
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Описание: This is a comprehensive, expository introduction to intersection homology, an important modern research area in the mathematical field of topology. The book is written to be accessible to graduate students in topology and researchers from other fields, and is suitable both as an introduction and as a thorough reference.

Автор: P. Giblin
Название: Graphs, Surfaces and Homology
ISBN: 0412239000 ISBN-13(EAN): 9780412239007
Издательство: Springer
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Описание: Many of the results of Chapter 9 do indeed generalize to higher dimensions (and the general machinery of simplicial homology theory is avai1able from earlier chapters) but I have confined myself to one example, namely the theorem that non-orientable closed surfaces do not embed in three-dimensional space.

Автор: Franjou Vincent
Название: Lectures on Functor Homology
ISBN: 3319213040 ISBN-13(EAN): 9783319213040
Издательство: Springer
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Описание: This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role.

Автор: R.V. Gamkrelidze; Nikolai Saveliev; A. Vassiiev
Название: Invariants of Homology 3-Spheres
ISBN: 3642078494 ISBN-13(EAN): 9783642078491
Издательство: Springer
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Описание: The main topics covered include: constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, and Floer homology and gauge-theoretical invariants of homology cobordism.

Автор: Loday, Jean-louis
Название: Cyclic homology
ISBN: 3642083161 ISBN-13(EAN): 9783642083167
Издательство: Springer
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Описание: From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology.

Автор: B. Eckmann; H. Appelgate; M. Barr; J. Beck; F. W.
Название: Seminar on Triples and Categorical Homology Theory
ISBN: 3540046011 ISBN-13(EAN): 9783540046011
Издательство: Springer
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Название: Mod Two Homology and Cohomology
ISBN: 3319093533 ISBN-13(EAN): 9783319093536
Издательство: Springer
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Описание: Mod Two Homology and Cohomology

Автор: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mr
Название: Computational Homology
ISBN: 1441923543 ISBN-13(EAN): 9781441923547
Издательство: Springer
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Описание: Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing.

Автор: Costello
Название: Factorization Algebras in Quantum Field Theory
ISBN: 1107163102 ISBN-13(EAN): 9781107163102
Издательство: Cambridge Academ
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Описание: Ideal for researchers and graduates in mathematics and physics, this volume develops factorization algebras while highlighting examples exhibiting their use in field theory, such as the recovery of a vertex algebra from a chiral conformal field theory. This first volume also includes expositions of the relevant background in homological algebra, sheaves and functional analysis.

Автор: Corina Keller
Название: Chern-Simons Theory and Equivariant Factorization Algebras
ISBN: 3658253371 ISBN-13(EAN): 9783658253370
Издательство: Springer
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Описание: Corina Keller studies non-perturbative facets of abelian Chern-Simons theories. This is a refinement of the entirely perturbative approach to classical Chern-Simons theory via homotopy factorization algebras of observables that arise from the associated formal moduli problem describing deformations of flat principal bundles with connections over the spacetime manifold. The author shows that for theories with abelian group structure, this factorization algebra of classical observables comes naturally equipped with an action of the gauge group, which allows to encode non-perturbative effects in the classical observables.About the Author: Corina Keller currently is a doctoral student in the research group of Prof. Dr. Damien Calaque at the Universit? Montpellier, France. She is mostly interested in the mathematical study of field theories. Her master’s thesis was supervised by PD Dr. Alessandro Valentino and Prof. Dr. Alberto Cattaneo at Zurich University, Switzerland.