The Torelli group and the Kauffman bracket skein module

Published 3 Jun 2016 in math.GT | (1606.01114v2)

Abstract: We introduce an embedding of the Torelli group of a compact connected oriented surface with non-empty connected boundary into the completed Kauffman bracket skein algebra of the surface, which gives a new construction of the first Johnson homomorphism.

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Shunsuke Tsuji

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