Orbifold Cohomology of Torus Quotients

  title={Orbifold Cohomology of Torus Quotients},
  author={Tara S. Holm and Allen Knutson and A BSTRACT},
We introduce the inertial cohomology ring NH T (Y) of a stably almost complex manifold carrying an action of a torus T . We show that in the case that Y has a locally free action by T , the inertial cohomology ring is isomorphic to the Chen-Ruan orbifold cohomology ring H∗CR(Y/T ) (as defined in [Chen-Ruan]) of the quotient orbifold Y/T . For Y a compact Hamiltonian T -space, we extend to orbifold cohomology two techniques that are standard in ordinary cohomology. We show that NH T (Y) has a… CONTINUE READING


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