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$K$-Theory of Crepant Resolutions of Complex Orbifolds with SU(2) Singularities

Christopher Seaton
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Abstract

We show that if $Q$ is a closed, reduced, complex orbifold of dimension $n$ such that every local group acts as a subgroup of $SU(2) < SU(n)$, then the $K$-theory of the unique crepant resolution of $Q$ is isomorphic to the orbifold $K$-theory of $Q$.

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Christopher Seaton. 2008-06-09. $K$-Theory of Crepant Resolutions of Complex Orbifolds with SU(2) Singularities. https://arxiv.org/abs/math/0311067

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