Calabi quasi-morphisms for some non-monotone symplectic manifolds
By Y. Ostrover. 2005
50 citations recorded by the source corpus.
In this work we construct Calabi quasi-morphisms on the universal cover e 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 quasimorphisms descend to non-trivial homomorphisms on the fundamental group of Ham.M/.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f94badc7c89b8053da0b4e6511241ffaae941d5c
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In Geometry and Topology
- Basak Z. Gurel
- V. Ginzburg
- L. Polterovich
- Michael Entov
- Michael Usher
- Yong-Geun Oh
- F. Zapolsky
- E. Shelukhin
In Mathematical Physics
- V. Ginzburg
- L. Polterovich
- Basak Z. Gurel
- Michael Entov
- Michael Usher
- Yong-Geun Oh
- F. Zapolsky
- Y. Ostrover
Citations in the corpus
- Symplectic quasi-states and semi-simplicity of quantum homology (2007, background): “The semi-simplicity of the quantum homology algebra for S(2) × S(2), CP (2), CP (2)♯CP 2 was already proved in [12], [35].”
- Rigid subsets of symplectic manifolds (2007, background): “In the case when a is the unity in a field that is a direct summand in the decomposition of the K-algebra QH2n(M,ω), as an algebra, into a direct sum of subalgebras, μ is a homogeneous quasi-morphism on H̃am (M) called Calabi quasi-morphism [22],[24],[46]; in the general case it has weaker propertie”
- Action and index spectra and periodic orbits in Hamiltonian dynamics (2008, background): “A not-necessarily monotone product CP(1) CP(1) satisfies (b); see Ostrover [46].”