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2006 Calabi quasi-morphisms for some non-monotone symplectic manifolds
Yaron Ostrover
Algebr. Geom. Topol. 6(1): 405-434 (2006). DOI: 10.2140/agt.2006.6.405

Abstract

In this work we construct Calabi quasi-morphisms on the universal cover Ham˜(M) of the group of Hamiltonian diffeomorphisms for some non-monotone symplectic manifolds. This complements a result by Entov and Polterovich which applies in the monotone case. Moreover, in contrast to their work, we show that these quasi-morphisms descend to non-trivial homomorphisms on the fundamental group of Ham(M).

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Yaron Ostrover. "Calabi quasi-morphisms for some non-monotone symplectic manifolds." Algebr. Geom. Topol. 6 (1) 405 - 434, 2006. https://doi.org/10.2140/agt.2006.6.405

Information

Received: 9 September 2005; Accepted: 15 February 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1114.53070
MathSciNet: MR2220683
Digital Object Identifier: 10.2140/agt.2006.6.405

Subjects:
Primary: 53D05, 53D12, 53D45
Secondary: 20F69

Rights: Copyright © 2006 Mathematical Sciences Publishers

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