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Series on Knots and Everything 26: Functional Knot Theory David N Yetter 2001 HC

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ISBN
9789810244439
Subject Area
Mathematics
Publication Name
Functorial Knot Theory : Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants
Item Length
9.4 in
Publisher
World Industries Scientific Publishing Co Pte LTD
Subject
Group Theory, Geometry / Analytic, Functional Analysis, Topology
Series
Series on Knots and Everything
Publication Year
2000
Type
Textbook
Format
Hardcover
Language
English
Author
David N. Yetter
Item Width
6.7 in
Item Weight
16.8 Oz
Number of Pages
230 Pages

關於產品

Product Information

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.

Product Identifiers

Publisher
World Industries Scientific Publishing Co Pte LTD
ISBN-10
9810244436
ISBN-13
9789810244439
eBay Product ID (ePID)
1759794

Product Key Features

Author
David N. Yetter
Publication Name
Functorial Knot Theory : Categories of Tangles, Coherence, Categorical Deformations and Topological Invariants
Format
Hardcover
Language
English
Subject
Group Theory, Geometry / Analytic, Functional Analysis, Topology
Series
Series on Knots and Everything
Publication Year
2000
Type
Textbook
Subject Area
Mathematics
Number of Pages
230 Pages

Dimensions

Item Length
9.4 in
Item Width
6.7 in
Item Weight
16.8 Oz

Additional Product Features

LCCN
2001-273934
Series Volume Number
Vol. 26
Lc Classification Number
Qa612.2.Y47 2001
Copyright Date
2001
Target Audience
Scholarly & Professional
Illustrated
Yes

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