Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Localization and gluing of orbifold amplitudes: The Gromov-Witten orbifold vertex

Author: Dustin Ross
Journal: Trans. Amer. Math. Soc. 366 (2014), 1587-1620
MSC (2010): Primary 14N35; Secondary 05A15
Published electronically: November 4, 2013
MathSciNet review: 3145743
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Abstract: We define a formalism for computing open orbifold GW invariants of $ [\mathbb{C}^3/G]$, where $ G$ is any finite abelian group. We prove that this formalism and a suitable gluing algorithm can be used to compute GW invariants in all genera of any toric CY orbifold of dimension $ 3$. We conjecture a correspondence with the DT orbifold vertex of Bryan-Cadman-Young.

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Dustin Ross
Affiliation: Department of Mathematics, Colorado State University, Fort Collins, Colorado 80523-1874
Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1043

Received by editor(s): November 3, 2011
Received by editor(s) in revised form: March 20, 2012
Published electronically: November 4, 2013
Article copyright: © Copyright 2013 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.