Yu. A. Neretin, “Central extensions of groups of symplectomorphisms”, Mosc. Math. J., 2006, Volume 6, Number 4,Pages <nobr>703

This article is cited in 1 paper

Central extensions of groups of symplectomorphisms

Yu. A. Neretin^ab

^a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
^b University of Vienna

Abstract: We construct canonically defined central extensions of groups of symplectomorphisms. We show that these central extensions are nontrivial for tori of dimension $\ge 6$ and for two-dimensional surfaces of genus $\ge 3$.

Key words and phrases: Central extensions, symplectomorphisms, mapping class groups, Teichmüller group, Dehn twist, Calabi invariant, flux homomorphism.

MSC: 57R57, 58D05, 19C09, 22E40

Received: April 11, 2006

Language: English

DOI: 10.17323/1609-4514-2006-6-4-703-729