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arXiv · 1205.1870

On Orbifold Criteria for Symplectic Toric Quotients

Carla Farsi·Hans-Christian Herbig·Christopher Seaton
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Abstract

We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly symplectomorphic to the quotient of a symplectic representation of a finite group, while the corresponding GIT quotients are smooth. Additionally, we relate the question of simplicialness of a torus representation to Gaussian elimination.

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Carla Farsi, Hans-Christian Herbig, Christopher Seaton. 2013-04-12. On Orbifold Criteria for Symplectic Toric Quotients. https://doi.org/10.3842/sigma.2013.032

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