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

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

2003-11-05

arxiv.org/abs/math/0311067v3

Rocky Mountain Journal of Mathematics 37 (2007), no. 5, 1705--1712.

Mathematics

Algebraic Topology

6 pages, minor corrections

Scientific paper

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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