Hamiltonian torus actions on symplectic orbifolds and toric varieties

Details Hamiltonian torus actions on symplectic orbifolds and toric varieties Hamiltonian torus actions on symplectic orbifolds and toric varieties

1995-11-18

arxiv.org/abs/dg-ga/9511008v1

Mathematics

Differential Geometry

AMSLaTeX using pb-diagram, lamsarrow, pb-lams, epic, eepic, amssymb, amscd, fullpage; 25pp. The source and dvi files are also

Scientific paper

In the first part of the paper, we build a foundation for further work on Hamiltonian actions on symplectic orbifolds. Most importantly we prove the orbifold versions of the abelian connectedness and convexity theorems. In the second half, we prove that compact symplectic orbifolds with completely integrable torus actions are classified by convex simple rational polytopes with a positive integer attached to each facet and that all such orbifolds are algebraic toric varieties.

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