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The genus two Goeritz group of $S^2 \times S^1$
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classification
math.GT
keywords
groupgoeritzgenus-gmanifoldtimesclassesclosedexplicit
abstract
The genus-g Goeritz group is the group of isotopy classes of orientation-preserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of $S^2 \times S^1$ is finitely presented, and give its explicit presentation.
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