Advances in Geometry
Managing Editor: Grundhöfer, Theo / Strambach, Karl
Editorial Board Member: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Joswig, Michael / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Penttila, Tim / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard
IMPACT FACTOR increased in 2015: 0.578
SCImago Journal Rank (SJR) 2015: 0.489
Source Normalized Impact per Paper (SNIP) 2015: 0.864
Impact per Publication (IPP) 2015: 0.530
Mathematical Citation Quotient (MCQ) 2015: 0.43
A cocycle on the group of symplectic diffeomorphisms
1Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, Wrocław, Poland
2Mathematical Sciences, University of Aberdeen, Meston Building, Aberdeen AB243UE, Scotland, UK
3Institute of Mathematics, University of Szczecin, ul.Wielkopolska 15, 70-451 Szczecin, Poland
Citation Information: Advances in Geometry. Volume 11, Issue 1, Pages 73–88, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: 10.1515/advgeom.2010.039, January 2011
- Published Online:
We define a cocycle on the group of Hamiltonian diffeomorphisms of a symplectically aspherical manifold and investigate its properties. The main application is an alternative proof of the Polterovich theorem about the distortion of cyclic subgroups in finitely generated groups of Hamiltonian diffeomorphisms.
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.