Delocalized Chern character for stringy orbifold K-theory
نویسندگان
چکیده
منابع مشابه
Stringy K-theory and the Chern Character
We construct two new G-equivariant rings: K (X, G), called the stringy K-theory of the G-variety X, and H (X, G), called the stringy cohomology of the G-variety X, for any smooth, projective variety X with an action of a finite group G. For a smooth Deligne-Mumford stack X , we also construct a new ring Korb(X ) called the full orbifold K-theory of X . We show that for a global quotient X = [X/...
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We introduce K-theoretic versions of the Fantechi-Goettsche ring of a variety with a group action and the Chen-Ruan cohomology of a smooth complex orbifold which we call stringy K-theory. Our definition is a generalization of a construction due to Givental and Y. P. Lee and it differs from the orbifold K-theory of Adem-Ruan. We also introduce a stringy Chern character isomorphism Ch taking stri...
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For an orbifold X and α ∈ H(X,Z), we introduce the twisted cohomologyH c (X, α) and prove that the Connes-Chern character establishes an isomorphism between the twisted K-groups K α (X)⊗C and twisted cohomologyH c (X, α). This theorem, on the one hand, generalizes a classical result of Baum-Connes, Brylinski-Nistor, and others, that if X is an orbifold then the Chern character establishes an is...
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Work of Dixon, Harvey, Vafa and Witten in the 80’s ([DHVW85]) introduced a notion of Euler characteristic (for quotients of a torus by a finite group) which became known as the physicist’s orbifold Euler number. In the 90’s V. Batyrev introduced a notion of stringy Euler number ([Bat99b]) for ‘arbitrary Kawamata log-terminal pairs’, proving that this number agrees with the physicist’s orbifold ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2013
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2013-05834-5