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arXiv · 2010.03764

The total Johnson homomorphism on the homology cylinder and the bracket-quantization HOMFLY-PT skein algebra

Shunsuke Tsuji
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Abstract

A homology cylinder of a surface induces an automorphism of the completed group ring of the fundamental group of the surface. We introduce a new method of computing the automorphism by using the Goldman Lie algebra of the surface or some skein algebra. In particular, we give a refinement of a formula by Kuno and Massuyeau.

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Shunsuke Tsuji. 2020-10-08. The total Johnson homomorphism on the homology cylinder and the bracket-quantization HOMFLY-PT skein algebra. https://arxiv.org/abs/2010.03764

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