Invariants of tangles with flat connections in their complements

Kashaev, Rinat Mavlyavievich; Reshetikhin, N.

Proceedings chapter

Open access

English

Invariants of tangles with flat connections in their complements

ContributorsKashaev, Rinat Mavlyavievich; Reshetikhin, N.

Published inGraphs and patterns : proceedings of a Conference on Graphs and Patterns in Mathematics and Theoretical Physics, Editors Lyubich, Mikhail ; Takhtajan, Leon, p. 151-172

Presented at Stony Brook, N.Y., 2001

PublisherProvidence, R.I. : American Mathematical society

Collection

Proceedings of symposia in pure mathematics; 73

Publication date2005

Abstract

Let G be a simple complex algebraic group. By using a notion of a G-category we define invariants of tangles with flat G-connections in their complements. We also show that quantized universal enveloping algebras at roots of unity provide examples of G-categories.

Classification

arxiv : math.QA

Affiliation

Faculté des sciences / Section de mathématiques

Citation (ISO format)

KASHAEV, Rinat Mavlyavievich, RESHETIKHIN, N. Invariants of tangles with flat connections in their complements. In: Graphs and patterns : proceedings of a Conference on Graphs and Patterns in Mathematics and Theoretical Physics. Stony Brook, N.Y. Providence, R.I. : American Mathematical society, 2005. p. 151–172. (Proceedings of symposia in pure mathematics)

Proceedings chapter

Identifiers

PID : unige:12218
arXiv : 1008.1384

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Invariants of tangles with flat connections in their complements

Let G be a simple complex algebraic group. By using a notion of a G-category we define invariants of tangles with flat G-connections in their complements. We also show that quantized universal enveloping algebras at roots of unity provide examples of G-categories.

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