Name: Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants (en Inglés)
Price: 144.28 USD
Availability: InStock
Author: Yetter, David N.
ISBN: 9789810244439

portada Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants (en Inglés)

Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants (en Inglés)

Formato

Libro Físico

Autor

David N. Yetter

Editorial

World Scientific Publishing Company

Idioma

Inglés

N° páginas

236

Encuadernación

Tapa Dura

Dimensiones

21.8 x 15.5 x 2.0 cm

Peso

0.46 kg.

ISBN

9810244436

ISBN13

9789810244439

Categorías

Medicina: cuestiones generales
Geometría analítica
Topología

Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants (en Inglés)

David N. Yetter (Autor) · World Scientific Publishing Company · Tapa Dura

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Reseña del libro "Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants (en Inglés)"

Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have suggested functorial views of topological field theory.This book begins with a detailed exposition of the key ideas in the discovery of monoidal categories of tangles as central objects of study in low-dimensional topology. The focus then turns to the deformation theory of monoidal categories and the related deformation theory of monoidal functors, which is a proper generalization of Gerstenhaber's deformation theory of associative algebras. These serve as the building blocks for a deformation theory of braided monoidal categories which gives rise to sequences of Vassiliev invariants of framed links, and clarify their interrelations.