Functorial Knot Theory: Categories Of Tangles, Coherence, Categorical Deformations And Topological Invariants
Language: English
Published by World Scientific Publishing Company, 2001
- Hardcover
- New
Seller: PBShop.store UK, Fairford, GLOS, United KingdomPBShop.store UK
AbeBooks seller since June 11, 1999
Condition: New
US$ 118.17
Quantity: 15 available
Add to basketItem description from seller
New Book. Shipped from UK. Established seller since 2000.
Seller Inventory # CX-9789810244439
- Title
- Functorial Knot Theory: Categories Of Tangles, Coherence, Categorical Deformations And Topological Invariants
- Author
- David N Yetter
- Publisher
- World Scientific Publishing Company
- Publication year
- 2001
- Condition
- New
- Binding
- HRD
- Language
- English
- ISBN 10
- 9810244436
- ISBN 13
- 9789810244439
- Item weight
- 458 grams
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.
"Synopsis" may belong to another edition of this title.
PBShop.store UK
Fairford, GLOS, United Kingdom
AbeBooks seller since June 11, 1999
Shipping rates from United Kingdom to U.S.A.
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