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The total Johnson homomorphism on the homology cylinder and the bracket-quantization HOMFLY-PT skein algebra
Published 8 Oct 2020 in math.GT | (2010.03764v1)
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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