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The Torelli group and the Kauffman bracket skein module

Published online by Cambridge University Press:  23 March 2017

SHUNSUKE TSUJI
SHUNSUKE TSUJI*
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo 3-8-1 Komaba, Meguro, Tokyo, 153-8914Japan e-mail: tsujish@ms.u-tokyo.ac.jp
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 165 , Issue 1 , July 2018 , pp. 163 - 178
Copyright
Copyright © Cambridge Philosophical Society 2017 

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References

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