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Více informací o knize Functorial Knot Theory: Categories Of Tangles, Coherence, Categorical Deformations And Topological Invariants

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Anotace knihy

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 structure 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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Topology

• Plný název: Functorial Knot Theory: Categories Of Tangles, Coherence, Categorical Deformations And Topological Invariants
• Autor: David N. Yetter
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 236
• EAN: 9789810244439
• ISBN: 9810244436
• ID: 05066700
• Nakladatelství: World Scientific Publishing Co Pte Ltd
• Hmotnost: 458 g
• Rozměry: 218 × 155 × 20 mm
• Datum vydání: 18. April 2001

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