可允许度量下有限能量辛涡旋的渐近行为献给钱敏教授90华诞

Assume (X, ω) is a compact symplectic manifold with a Hamiltonian action of a compact Lie group G. We prove that at cylinder ends whose metrics grow up at least cylindrically fast, a finite energy symplectic vortex exponentially converges to (un)twisted-sectors of the symplectic reduction at a regular value of the moment map, without assuming the group action on the regular level set is free. It generalizes the corresponding results by Ziltener under the free action assumption. The result of this paper has important applications in the study of quantum Kirwan morphism by the authors.