Dehn twists on Kauffman bracket skein algebras

2015/10/17 by Shunsuke Tsuji, Tsuji, Shunsuke
Computer Science · Mathematics · #57M27 #57N05 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1510.05139

openalex publication_date 2015/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit formula for the action of the Dehn twist along a simple closed curve in a compact connected oriented surface on the completion of the filtered skein modules. To do this, we introduce filtrations of the Kauffman bracket skein algebra and the Kauffman bracket skein modules on the surface.

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