On the moduli space of flat symplectic surface bundles

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  • Sam Nariman
In this paper, we prove homological stability of symplectomorphisms and extended hamiltonians of surfaces made discrete. Similar to discrete surface diffeomorphisms [Nar17b], 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 main theorem in [KM07].
Original languageEnglish
JournalJournal of Differential Geometry
Volume116
Issue number2
Pages (from-to)349-391
ISSN0022-040X
DOIs
Publication statusPublished - 2020

ID: 257657194