Rigid subsets of symplectic manifolds

@inproceedings{Polterovich2008RigidSO,
  title={Rigid subsets of symplectic manifolds},
  author={Leonid Polterovich},
  year={2008}
}
  • Leonid Polterovich
  • Published 2008
We show that there is an hierarchy of intersection rigidity properties of sets in a closed symplectic manifold: some sets cannot be displaced by symplectomorphisms from more sets than the others. We also find new examples of rigidity of intersections involving, in particular, specific fibers of moment maps of Hamiltonian torus actions, monotone Lagrangian submanifolds (following the works of P.Albers and P.Biran-O.Cornea), as well as certain, possibly singular, sets defined in terms of Poisson… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Citations

Publications citing this paper.
Showing 1-10 of 23 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 60 references

RIGIDITY AND UNIRULING FOR LAGRANGIAN SUBMANIFOLDS

PAUL BIRAN
2009
View 12 Excerpts
Highly Influenced

Quantum structures for Lagrangian submanifolds

P. Biran, O. Cornea
preprint, arXiv:0708.4221, • 2007
View 6 Excerpts
Highly Influenced

Quasi-states and symplectic intersections

Leonid Polterovich
2005
View 10 Excerpts
Highly Influenced

Hamiltonian loops and Arnold’s

L. Polterovich
principle, Amer. Math. Soc. Transl. (2) • 1997
View 4 Excerpts
Highly Influenced

Calabi quasimorphism and quantum homology M ichael

Entov Leonid Polterovich
2008
View 4 Excerpts
Highly Influenced

On the action spectrum for closed symplectically aspherical manifolds

M. Schwarz
Pacific J. Math • 2000
View 3 Excerpts
Highly Influenced

Calabi quasimorphisms for the symplectic ball

aul Biran, Michael Entov, Leonid Polterovich
2008
View 3 Excerpts