EQUIVARIANT EMBEDDING OF TWO-TORUS INTO SYMPLECTIC MANIFOLD

  • Kim, Min Kyu (Department of Mathematics Education Gyeongin National University of Education)
  • 투고 : 2007.04.18
  • 발행 : 2007.06.30

초록

We show that there is an equivariant symplectic embedding of a two-torus with a nontrivial action into a symplectic manifold with a symplectic circle action if and only if the circle action on the manifold is non-Hamiltonian. This is a new equivalent condition for non-Hamiltonian action and gives us a new insight to solve the famous conjecture by Frankel and McDuff.

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