Stringy Product on Twisted Orbifold K-Theory for Abelian Quotients
In this paper we present a model to calculate the stringy product on twisted orbifold K-theory of Adem-Ruan-Zhang for abelian complex orbifolds. In the first part we consider the non-twisted case on an orbifold presented as the quotient of a manifold acted by a compact abelian Lie group. We give an...
| Veröffentlicht in: | Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 361(2009), 11, Seite 5781-5803 |
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| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2009
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| Zugriff auf das übergeordnete Werk: | Transactions of the American Mathematical Society |
| Schlagworte: | Primary 14N35 Primary 19L47 Secondary 55N15 Secondary 55N91 Stringy product twisted orbifold K-theory Chen-Ruan cohomology inverse transgression map Behavioral sciences Mathematics mehr... |
| Zusammenfassung: | In this paper we present a model to calculate the stringy product on twisted orbifold K-theory of Adem-Ruan-Zhang for abelian complex orbifolds. In the first part we consider the non-twisted case on an orbifold presented as the quotient of a manifold acted by a compact abelian Lie group. We give an explicit description of the obstruction bundle, we explain the relation with the product defined by Jarvis-Kaufmann-Kimura and, via a Chern character map, with the Chen-Ruan cohomology, we explicitly calculate the stringy product for a weighted projective orbifold. In the second part we consider orbifolds presented as the quotient of a manifold acted by a finite abelian group and twistings coming from the group cohomology. We show a decomposition formula for twisted orbifold K-theory that is suited to calculate the stringy product and we use this formula to calculate two examples when the group is (ℤ/2)³. |
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| ISSN: | 10886850 |