Weighted hyperprojective spaces and homotopy invariance in orbifold cohomology
نویسندگان
چکیده
We show that Chen-Ruan cohomology is a homotopy invariant in certain cases. We introduce the notion of a T -representation homotopy which is a stringent form of homotopy under which Chen-Ruan cohomology is invariant. We show that while hyperkähler quotients of T C by S (here termed weighted hyperprojective spaces) are homotopy equivalent to weighted projective spaces, they are not S-representation homotopic. Indeed, we show that their Chen-Ruan cohomology rings (over Q) are distinct.
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