Genus two Heegaard splittings

Hass, Joel

doi:10.1090/S0002-9939-1992-1070519-7

Genus two Heegaard splittings
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by Joel Hass

Proc. Amer. Math. Soc. 114 (1992), 565-570

DOI: https://doi.org/10.1090/S0002-9939-1992-1070519-7

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Abstract:

It is shown that a $3$-manifold has a finite number of genus two Heegaard splittings. A corollary is that the mapping class group is finite if the manifold is non-Haken.

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