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Symplectic toric orbifolds

Eugene Lerman·Susan Tolman
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Abstract

A symplectic toric orbifold is a compact connected orbifold $M$, a symplectic form $ω$ on $M$, and an effective Hamiltonian action of a torus $T$ on $M$, where the dimension of $T$ is half the dimension of $M$. We prove that there is a one-to-one correspondence between symplectic toric orbifolds and convex rational simple polytopes with positive integers attached to each facet.

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Eugene Lerman, Susan Tolman. 1994-12-23. Symplectic toric orbifolds. https://arxiv.org/abs/dg-ga/9412005

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