On the moduli space of flat symplectic surface bundles

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Standard

On the moduli space of flat symplectic surface bundles. / Nariman, Sam.

In: Journal of Differential Geometry, Vol. 116, No. 2, 2020, p. 349-391.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Nariman, S 2020, 'On the moduli space of flat symplectic surface bundles', Journal of Differential Geometry, vol. 116, no. 2, pp. 349-391. https://doi.org/10.4310/jdg/1603936815

APA

Nariman, S. (2020). On the moduli space of flat symplectic surface bundles. Journal of Differential Geometry, 116(2), 349-391. https://doi.org/10.4310/jdg/1603936815

Vancouver

Nariman S. On the moduli space of flat symplectic surface bundles. Journal of Differential Geometry. 2020;116(2):349-391. https://doi.org/10.4310/jdg/1603936815

Author

Nariman, Sam. / On the moduli space of flat symplectic surface bundles. In: Journal of Differential Geometry. 2020 ; Vol. 116, No. 2. pp. 349-391.

Bibtex

@article{b345c01dc8d54464a5f549ba83332320,
title = "On the moduli space of flat symplectic surface bundles",
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].",
author = "Sam Nariman",
year = "2020",
doi = "10.4310/jdg/1603936815",
language = "English",
volume = "116",
pages = "349--391",
journal = "Journal of Differential Geometry",
issn = "0022-040X",
publisher = "Lehigh University Department of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - On the moduli space of flat symplectic surface bundles

AU - Nariman, Sam

PY - 2020

Y1 - 2020

N2 - 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].

AB - 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].

U2 - 10.4310/jdg/1603936815

DO - 10.4310/jdg/1603936815

M3 - Journal article

VL - 116

SP - 349

EP - 391

JO - Journal of Differential Geometry

JF - Journal of Differential Geometry

SN - 0022-040X

IS - 2

ER -

ID: 257657194