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...

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Veröffentlicht in:	Transactions of the American Mathematical Society. - American Mathematical Society, 1900. - 361(2009), 11, Seite 5781-5803
1. Verfasser:	Becerra, Edward (VerfasserIn)
Weitere Verfasser:	Uribe, Bernardo
Format:	Online-Aufsatz
Sprache:	English
Veröffentlicht:	2009
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... Information science Physical sciences


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100	1		\|a Becerra, Edward \|e verfasserin \|4 aut
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520			\|a 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.
540			\|a Copyright 2009 American Mathematical Society
650		4	\|a Primary 14N35
650		4	\|a Primary 19L47
650		4	\|a Secondary 55N15
650		4	\|a Secondary 55N91
650		4	\|a Stringy product
650		4	\|a twisted orbifold K-theory
650		4	\|a Chen-Ruan cohomology
650		4	\|a inverse transgression map
650		4	\|a Behavioral sciences \|x Human behavior \|x Transgression
650		4	\|a Mathematics \|x Pure mathematics \|x Algebra \|x Abstract algebra \|x Homomorphisms
650		4	\|a Mathematics \|x Mathematical values \|x Quotients
650		4	\|a Information science \|x Coding theory \|x Character encoding \|x Character maps
650		4	\|a Mathematics \|x Pure mathematics \|x Algebra \|x Coefficients
650		4	\|a Mathematics \|x Pure mathematics \|x Linear algebra \|x Vector analysis \|x Mathematical vectors
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Statistical physics \|x Dimensional analysis \|x Dimensionality \|x Abstract spaces \|x Topological spaces \|x Mathematical manifolds
650		4	\|a Mathematics \|x Applied mathematics \|x Statistics \|x Applied statistics \|x Statistical physics \|x Dimensional analysis \|x Dimensionality \|x Abstract spaces \|x Topological spaces \|x Mathematical manifolds \|x Differentiable manifolds \|x Lie groups
650		4	\|a Physical sciences \|x Physics \|x Mechanics \|x Classical mechanics \|x Kinetics \|x Rotational dynamics \|x Torsion
655		4	\|a research-article
700	1		\|a Uribe, Bernardo \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Transactions of the American Mathematical Society \|d American Mathematical Society, 1900 \|g 361(2009), 11, Seite 5781-5803 \|w (DE-627)269247351 \|w (DE-600)1474637-2 \|x 10886850 \|7 nnns
773	1	8	\|g volume:361 \|g year:2009 \|g number:11 \|g pages:5781-5803
856	4	0	\|u http://dx.doi.org/10.1090/S0002-9947-09-04760-6 \|3 Volltext
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