Continuous Families of Hamiltonian Torus Actions
نویسنده
چکیده
We determine conditions under which two Hamiltonian torus actions on a symplectic manifold M are homotopic by a family of Hamiltonian torus actions, when M is a toric manifold and when M is a coadjoint orbit. MSC 2000: 53D05, 57S05
منابع مشابه
On the Existence of Star Products on Quotient Spaces of Linear Hamiltonian Torus Actions Hans-christian Herbig, Srikanth B. Iyengar and Markus J. Pflaum
We discuss BFV deformation quantization [5] in the special case of a linear Hamiltonian torus action. In particular, we show that the Koszul complex on the moment map of an effective linear Hamiltonian torus action is acyclic. We rephrase the nonpositivity condition of [2] for linear Hamiltonian torus actions. It follows that reduced spaces of such actions admit continuous star products.
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تاریخ انتشار 2008