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Moscow Mathematical Journal, 2006, Volume 6, Number 4, Pages 703–729
DOI: https://doi.org/10.17323/1609-4514-2006-6-4-703-729 (Mi mmj266) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Central extensions of groups of symplectomorphisms

Yu. A. Neretinab

a Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
b University of Vienna
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DOI: https://doi.org/10.17323/1609-4514-2006-6-4-703-729
URL: https://www.ams.org/distribution/mmj/vol6-4-2006/abst6-4-2006.html#neretin
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.
Received: April 11, 2006
Bibliographic databases:
MSC: 57R57, 58D05, 19C09, 22E40
Language: English
Citation: Yu. A. Neretin, “Central extensions of groups of symplectomorphisms”, Mosc. Math. J., 6:4 (2006), 703–729
Citation in format AMSBIB
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\by Yu.~A.~Neretin
\paper Central extensions of groups of symplectomorphisms
\jour Mosc. Math.~J.
\yr 2006
\vol 6
\issue 4
\pages 703--729
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\crossref{https://doi.org/10.17323/1609-4514-2006-6-4-703-729}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2291159}
\zmath{https://zbmath.org/?q=an:1148.57041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208596000005}
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