Kodai Mathematical Journal

Dehn twists on Kauffman bracket skein algebras

Shunsuke Tsuji

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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.

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Kodai Math. J., Volume 41, Number 1 (2018), 16-41.

First available in Project Euclid: 19 March 2018

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Tsuji, Shunsuke. Dehn twists on Kauffman bracket skein algebras. Kodai Math. J. 41 (2018), no. 1, 16--41. doi:10.2996/kmj/1521424819. https://projecteuclid.org/euclid.kmj/1521424819

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