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Orbifold cohomology of torus quotients

Orbifold cohomology of torus quotients

We introduce the inertial cohomology ring NHT*,◊(Y) of a stably almost complex manifold carrying an action of a torus T. We show that in the case where Y has a locally free action by T, the inertial cohomology ring is isomorphic to the Chen-Ruan orbifold cohomology ring HCR*(Y/T) (as defined …