Mathematics – Algebraic Topology
Scientific paper
2007-06-21
Mathematics
Algebraic Topology
23 pages. A chapter on the stringy product on twisted orbifold K-theory has been added, including a decomposition formula and
Scientific paper
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, and we explicitely 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 $(\integer/2)^3$.
Becerra Edward
Uribe Bernardo
No associations
LandOfFree
Stringy product on twisted orbifold K-theory for abelian quotients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stringy product on twisted orbifold K-theory for abelian quotients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stringy product on twisted orbifold K-theory for abelian quotients will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-186925