On the moduli space of flat symplectic surface bundles

Sam Nariman

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arXiv · 1612.00043

On the moduli space of flat symplectic surface bundles

Sam Nariman

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Abstract

In this paper, we prove homological stability of symplectomorphisms and extended hamiltonians of surfaces made discrete. We construct an isomorphism from the stable homology group of symplectomorphisms and extended Hamiltonians of surfaces to the homology of certain infinite loop spaces. We use these infinite loop spaces to study characteristic classes of surface bundles whose holonomy groups are area preserving, in particular we give a homotopy theoretic proof of the Kotschick-Morita theorem.

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Sam Nariman. 2016-11-30. On the moduli space of flat symplectic surface bundles. https://arxiv.org/abs/1612.00043

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