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2018 A second cohomology class of the symplectomorphism group with the discrete topology
Ryoji Kasagawa
Algebr. Geom. Topol. 18(1): 187-219 (2018). DOI: 10.2140/agt.2018.18.187

Abstract

A second cohomology class of the group cohomology of the symplectomorphism group is defined for a symplectic manifold with first Chern class proportional to the class of symplectic form and with trivial first real cohomology. Some properties of it are studied. In particular, it is characterized in terms of cohomology classes of the universal symplectic fiber bundle over the classifying space of the symplectomorphism group with the discrete topology.

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Ryoji Kasagawa. "A second cohomology class of the symplectomorphism group with the discrete topology." Algebr. Geom. Topol. 18 (1) 187 - 219, 2018. https://doi.org/10.2140/agt.2018.18.187

Information

Received: 26 May 2016; Revised: 22 February 2017; Accepted: 5 June 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 1385.57027
MathSciNet: MR3748242
Digital Object Identifier: 10.2140/agt.2018.18.187

Subjects:
Primary: 57R17, 57R50
Secondary: 55R40, 58H10

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 1 • 2018
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