Ross, Dustin J., authorCavalieri, Renzo, advisorAchter, Jeff, committee memberLunkenheimer, Erika, committee memberPeterson, Chris, committee member2007-01-032007-01-032013http://hdl.handle.net/10217/80172We 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.born digitaldoctoral dissertationsengCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.Text