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Open and closed Gromov-Witten theory of three-dimensional toric Calabi-Yau orbifolds

Date

2013

Authors

Ross, Dustin J., author
Cavalieri, Renzo, advisor
Achter, Jeff, committee member
Lunkenheimer, Erika, committee member
Peterson, Chris, committee member

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Abstract

We develop the orbifold topological vertex, an algorithm for computing the all-genus, open and closed Gromov-Witten theory of three-dimensional toric Calabi-Yau orbifolds. We use this algorithm to study Ruan's crepant resolutions conjecture and the orbifold Gromov-Witten/Donaldson-Thomas correspondence.

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