Noncommutative resolutions and intersection cohomology for quotient singularities
Noncommutative resolutions and intersection cohomology for quotient singularities
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Tudor Padurariu, Massachusetts Institute of Technology
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For good moduli spaces X of Artin stack Y (as defined by Alper), we construct some noncommutative resolutions D(X) inside the category D^b(Y). Further,听we construct subcategories I(X)听of D(X) whose periodic cyclic homology is given by the intersection cohomology of X. In particular, the K-theory of I(X) is a natural definition of intersection K-theory for the variety X.
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