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
Journal Title
Journal ISSN
Volume Title
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.