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학술저널

EQUIVARIANT EMBEDDING OF TWO-TORUS INTO SYMPLECTIC MANIFOLD

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We show that there is an equivariant symplectic em-bedding of a two-torus with a nontrivial action into a symplectic manifold with a symplectic circle action if and only if the circle ac-tion 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 McDu??.

1. Introduction

2. Proof of theorem

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