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.

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  • [math/] Stringy Ktheory and the Chern character
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    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.


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    images stringy k theory and the chern character definition

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

    Stringy Ktheory and the Chern character PDF Free Download

    The full orbifold K-theory was further studied by Goldin, Harada, Holm and Kimura for abelian symplectic quotients in. The associated stringy product will be called the Becerra-Uribe produt, denoted by.

    The associativity of the Chen-Ruan product follows from a property of the obstruction bundles discovered by Chen-Ruan in using the gluing construction in Gromov-Witten theory. Thanks for voting!

    We further define the construction of $\ok(\cx)$ for any Deligne-Mumford stack $\​cx$ and show that the Home > Stringy K-theory and the Chern character.

    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.

    In this paper, we define a stringy product on $K^*_{orb}(\XX) \otimes \C $, the orbifold K-theory of any almost complex presentable orbifold $\XX$.

    [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.

    images stringy k theory and the chern character definition

    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.

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