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Area preserving group actions on surfaces

John Franks·Michael Handel
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Abstract

Suppose G is an almost simple group containing a subgroup isomorphic to the three-dimensional integer Heisenberg group. For example any finite index subgroup of SL(3,Z) is such a group. The main result of this paper is that every action of G on a closed oriented surface by area preserving diffeomorphisms factors through a finite group.

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John Franks, Michael Handel. 2003-11-14. Area preserving group actions on surfaces. https://doi.org/10.2140/gt.2003.7.757

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