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arXiv · 1703.10416

A twisted first homology group of the Goeritz group of 3-sphere

Akira Kanada
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Abstract

Given a genus-g Heegaard splitting of a 3-sphere, the genus-g Goeritz group is defined to be the group of the isotopy classes of orientation preserving homeomorphism of the 3-sphere that preserve the splitting. In this paper, we determine the twisted first (co)homology group of the genus-2 Goeritz group of 3-sphere.

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Akira Kanada. 2017-03-30. A twisted first homology group of the Goeritz group of 3-sphere. https://arxiv.org/abs/1703.10416

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