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March 2018 Dehn twists on Kauffman bracket skein algebras
Shunsuke Tsuji
Kodai Math. J. 41(1): 16-41 (March 2018). DOI: 10.2996/kmj/1521424819

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 of the surface. To do this, we introduce filtrations of the Kauffman bracket skein algebra and the Kauffman bracket skein modules of the surface.

Citation

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Shunsuke Tsuji. "Dehn twists on Kauffman bracket skein algebras." Kodai Math. J. 41 (1) 16 - 41, March 2018. https://doi.org/10.2996/kmj/1521424819

Information

Published: March 2018
First available in Project Euclid: 19 March 2018

zbMATH: 06912398
MathSciNet: MR3777384
Digital Object Identifier: 10.2996/kmj/1521424819

Rights: Copyright © 2018 Tokyo Institute of Technology, Department of Mathematics

Vol.41 • No. 1 • March 2018
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