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arXiv · 1310.0414

An impossibility theorem for linear symplectic circle quotients

Hans-Christian Herbig·Christopher Seaton
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Abstract

We prove that when $d>2$, a $d$-dimensional symplectic quotient at the zero level of a unitary circle representation $V$ such that $V^{\Sp^1}=\{0\}$ cannot be $\Z$-graded regularly symplectomorphic to the quotient of a unitary representations of a finite group.

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Hans-Christian Herbig, Christopher Seaton. 2013-10-01. An impossibility theorem for linear symplectic circle quotients. https://doi.org/10.1016/s0034-4877(15)00019-1

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