# Stringy k theory and the chern character definition

Only find exact matches. Thanks for voting! Associated to an effective orbifoldwe have a canonical non-effective orbifold, called the inertia orbifold of. The full orbifold K-theory was further studied by Goldin, Harada, Holm and Kimura for abelian symplectic quotients in. For a compact almost complex orbifoldAdem, Ruan and Zhang in defined a stringy product onthe twisted K-theory of the inertia orbifold with a transgressive twisting. For an orbifold arising from a smooth, projective variety with an action of a finite group or a Deligne-Mumford stack, an analogous product was defined by Jarvis, Kaufmann and Kimura in on the untwisted orbifold K-theory of.

the stringy Chern character, from stringy K-theory to stringy cohomology, and a or moduli spaces, our results simplify the definitions of Fantechi-Goettsche's. Stringy K-theory and the Chern character covers, or moduli spaces, our results greatly simplify the definitions of the Fantechi–Göttsche ring. Stringy topological K-theory and stringy cohomology.

36 problem by defining the stringy Chern character C h: K (X, G) → A (X, G) to be.

It is known that there is a delocalized Chern character Cf. For any orbifoldthe de Rham cohomology is well defined, and by a theorem of Satakeis isomorphic to the singular cohomology of the underlying space.

For an orbifold arising from a smooth, projective variety with an action of a finite group or a Deligne-Mumford stack, an analogous product was defined by Jarvis, Kaufmann and Kimura in on the untwisted orbifold K-theory of.

Video: Stringy k theory and the chern character definition Character Development: The Importance of Developing Characters

This product will be called the Adem-Ruan-Zhang product, denoted by. The obstruction bundle in the construction of the Chen-Ruan product is a complex orbifold vector bundle overwhere is the immersion defined by the sub-orbifold structure on each connected component of. The Chen-Ruan cohomologyas a classical limit of an orbifold quantum cohomology, is a cohomology of the inertia orbifold.

orbifold cohomology, and we construct an orbifold Chern character which is a ring In a similar fashion, we define the stringy K-theory K (X, G) of X, as a G. complex orbifold which we call stringy K-theory. Our definition is a gener- alization of a We also introduce a stringy Chern character isomorphism Ch taking.

Toggle navigation emion. The ring is called the full orbifold K-theory in. The full orbifold K-theory was further studied by Goldin, Harada, Holm and Kimura for abelian symplectic quotients in.

Thanks for voting! The Chen-Ruan cohomologyas a classical limit of an orbifold quantum cohomology, is a cohomology of the inertia orbifold. In this paper, we define a stringy product on the orbifold K-theory of an almost complex compact orbifold.

### Stringy Ktheory and the Chern character SpringerLink

In the development of Gromov-Witten theory for symplectic orbifolds, Chen and Ruan in discovered a remarkable new cohomology theory on any almost complex orbifoldcalled the Chen-Ruan cohomology.

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Associated to the orbifold immersion. Recall that an orbifold is a paracompact Hausdorff space equipped with a compatible system of orbifold atlases locally modeled on quotient spaces of Euclidean spaces by finite group actions. Video: Stringy k theory and the chern character definition Weakness: Character Development Workshop Almost complex orbifolds are those orbifolds with local models given by a finite group acting unitarily on complex spaces. The full orbifold K-theory was further studied by Goldin, Harada, Holm and Kimura for abelian symplectic quotients in. The notion of orbifold was first introduced by Satake under the name V-manifold. |

### [math/] Stringy Ktheory and the Chern character

We establish. In this paper, we define a stringy product on K∗ orb(X) ⊗ C, the Orbifold K-theory, delocalized Chern character, Chen-Ruan cohomology. Stringy K–theory and the Chern Character. Theorem on Variations are examples of DM-stacks with a projective coarse moduli space.

Ralph Kaufmann.

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## Stringy Ktheory and the Chern character CERN Document Server

Only find exact matches. They gave a complete description of the ring structure of the full orbifold K-theory of weighted projective spaces obtained as symplectic quotients of by weighted -actions. They also established an isomorphism. The obstruction bundle in the construction of the Chen-Ruan product is a complex orbifold vector bundle overwhere is the immersion defined by the sub-orbifold structure on each connected component of.

For any orbifoldthe de Rham cohomology is well defined, and by a theorem of Satakeis isomorphic to the singular cohomology of the underlying space.

Stringy k theory and the chern character definition |
We remark that this Chern character map is not an isomorphism over the complex coefficients. The inertia orbifold consists of connected components of different dimensions, see page 7 in.
In the development of Gromov-Witten theory for symplectic orbifolds, Chen and Ruan in discovered a remarkable new cohomology theory on any almost complex orbifoldcalled the Chen-Ruan cohomology. Toggle navigation emion. Recall that an orbifold is a paracompact Hausdorff space equipped with a compatible system of orbifold atlases locally modeled on quotient spaces of Euclidean spaces by finite group actions. InBecerra and Uribe also established a ring homomorphism between the orbifold K-theory of and the Chen-Ruan cohomology under a modified Chern character map. Only match full author names. |

## Mashicage

20.02.2020Associated to an effective orbifoldwe have a canonical non-effective orbifold, called the inertia orbifold of.

## Nikokora

14.02.2020The associated stringy product will be called the Becerra-Uribe produt, denoted by.

## Mazukazahn

12.02.2020We remark that this Chern character map is not an isomorphism over the complex coefficients.