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Compactly supported Hamiltonian loops with a non-zero Calabi invariant
| 1. | School of Mathematical Sciences, Tel Aviv University, Tel Aviv 6997801, Israel |
References:
| [1] |
A. Cannas da Silva, Symplectic Toric Manifolds, 2001. Available from: http://www.math.ist.utl.pt/~acannas/Books/toric.pdf. |
| [2] |
Y. Karshon, Periodic Hamiltonian flows on four-dimensional manifolds, Memoirs Amer. Math. Soc., 141 (1999).
doi: 10.1090/memo/0672. |
| [3] |
D. McDuff, Loops in the Hamiltonian group: A survey, in Symplectic Topology and Measure Preserving Dynamical Systems, Contemp. Math., 512, Amer. Math. Soc., Providence, RI, 2010, 127-148.
doi: 10.1090/conm/512/10061. |
| [4] |
D. McDuff and D. Salamon, Introduction to Symplectic Topology, Second edition, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1998. |
| [5] |
L. Polterovich, The Geometry of the Group of Symplectic Diffeomorphisms, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, 2001.
doi: 10.1007/978-3-0348-8299-6. |
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L. Polterovich, Hamiltonian loops and Arnold's principle, in Topics in Singularity Theory, Amer. Math. Soc. Transl. Ser 2, 180, Amer. Math. Soc., Providence, RI, 1997, 181-187. |
| [7] |
S. Seyfaddini, Descent and $C^0$-rigidity of spectral invariants on monotone symplectic manifolds, J. Top. Anal., 4 (2012), 481-498.
doi: 10.1142/S1793525312500215. |
show all references
References:
| [1] |
A. Cannas da Silva, Symplectic Toric Manifolds, 2001. Available from: http://www.math.ist.utl.pt/~acannas/Books/toric.pdf. |
| [2] |
Y. Karshon, Periodic Hamiltonian flows on four-dimensional manifolds, Memoirs Amer. Math. Soc., 141 (1999).
doi: 10.1090/memo/0672. |
| [3] |
D. McDuff, Loops in the Hamiltonian group: A survey, in Symplectic Topology and Measure Preserving Dynamical Systems, Contemp. Math., 512, Amer. Math. Soc., Providence, RI, 2010, 127-148.
doi: 10.1090/conm/512/10061. |
| [4] |
D. McDuff and D. Salamon, Introduction to Symplectic Topology, Second edition, Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York, 1998. |
| [5] |
L. Polterovich, The Geometry of the Group of Symplectic Diffeomorphisms, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, 2001.
doi: 10.1007/978-3-0348-8299-6. |
| [6] |
L. Polterovich, Hamiltonian loops and Arnold's principle, in Topics in Singularity Theory, Amer. Math. Soc. Transl. Ser 2, 180, Amer. Math. Soc., Providence, RI, 1997, 181-187. |
| [7] |
S. Seyfaddini, Descent and $C^0$-rigidity of spectral invariants on monotone symplectic manifolds, J. Top. Anal., 4 (2012), 481-498.
doi: 10.1142/S1793525312500215. |
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