90 research outputs found
Orbifold Gromov-Witten Theory
In this article, we introduce the notion of good map and use it to establish
Gromov-Witten theory for orbifolds.Comment: Late
Twisted Orbifold K-Theory
We use equivariant methods to establish basic properties of orbifold
K-theory. We introduce the notion of twisted orbifold K-theory in the presence
of discrete torsion, and show how it can be explicitly computed for global
quotients.Comment: 30 page
Orbifold Quantum Cohomology
This is a research announcement of the theory of orbifold quantum cohomology.Comment: Revised version, adding more reference
LG/CY correspondence: the state space isomorphism
We prove the classical mirror symmetry conjecture for the mirror pairs
constructed by Berglund, H\"ubsch, and Krawitz. Our main tool is a
cohomological LG/CY correspondence which provides a degree-preserving
isomorphism between the cohomology of finite quotients of Calabi-Yau
hypersurfaces inside a weighted projective space and the Fan-Jarvis-Ruan-Witten
state space of the associated Landau-Ginzburg singularity theory.Comment: 37 pages, 9 figure
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