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Compactly supported Hamiltonian loops with a non-zero Calabi invariant

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  • We give examples of compactly supported Hamiltonian loops with a non-zero Calabi invariant on certain open symplectic manifolds.
    Mathematics Subject Classification: 53D05.

    Citation:

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  • [1]

    A. Cannas da SilvaSymplectic 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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