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October 2020 On the moduli space of flat symplectic surface bundles
Sam Nariman
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J. Differential Geom. 116(2): 349-391 (October 2020). DOI: 10.4310/jdg/1603936815

Abstract

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].

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Sam Nariman. "On the moduli space of flat symplectic surface bundles." J. Differential Geom. 116 (2) 349 - 391, October 2020. https://doi.org/10.4310/jdg/1603936815

Information

Received: 11 December 2016; Published: October 2020
First available in Project Euclid: 29 October 2020

zbMATH: 07269228
MathSciNet: MR4168207
Digital Object Identifier: 10.4310/jdg/1603936815

Rights: Copyright © 2020 Lehigh University

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Vol.116 • No. 2 • October 2020
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