Tom Coates
Imperial College London
Geometry & Topology | 2009
Tom Coates; Hiroshi Iritani; Hsian-Hua Tseng
Let X be a Gorenstein orbifold with projective coarse moduli space X and let Y be a crepant resolution of X . We state a conjecture relating the genus-zero Gromov‐ Witten invariants of X to those of Y , which differs in general from the Crepant Resolution Conjectures of Ruan and Bryan‐Graber, and prove our conjecture when XD P.1;1;2/ and XD P.1;1;1;3/. As a consequence, we see that the original form of the Bryan‐Graber Conjecture holds for P.1;1;2/ but is probably false for P.1;1;1;3/. Our methods are based on mirror symmetry for toric orbifolds. 53D45; 14N35, 83E30
Compositio Mathematica | 2015
Tom Coates; Alessio Corti; Hiroshi Iritani; Hsian-Hua Tseng
We prove a Givental-style mirror theorem for toric Deligne–Mumford stacks
arXiv: Algebraic Geometry | 2014
Tom Coates; Alessio Corti; Sergey Galkin; Vasily Golyshev; Alexander M. Kasprzyk
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Geometry & Topology | 2016
Tom Coates; Alessio Corti; Sergey Galkin; Alexander M. Kasprzyk
. This determines the genus-zero Gromov–Witten invariants of
Symmetry Integrability and Geometry-methods and Applications | 2012
Mohammad Akhtar; Tom Coates; Sergey Galkin; Alexander M. Kasprzyk
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Advances in Mathematics | 2018
Tom Coates; Hiroshi Iritani; Yunfeng Jiang
in terms of an explicit hypergeometric function, called the
Communications in Mathematical Physics | 2009
Tom Coates
I
Kyoto Journal of Mathematics | 2018
Tom Coates; Hiroshi Iritani
-function, that takes values in the Chen–Ruan orbifold cohomology of
arXiv: Algebraic Geometry | 2015
Tom Coates; Alexander M. Kasprzyk; Thomas Prince
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Mathematical Research Letters | 2012
Tom Coates; Amin Gholampour; Hiroshi Iritani; Yunfeng Jiang; Paul Johnson; Cristina Manolache
.
