On the Gromov-Witten theory of Borcea-Voisin orbifolds and its analytic continuations
Speaker(s): Andrew Schaug (University of Michigan)
Time: 00:00-00:00 May 15, 2015
Venue: Room 09 at Quan Zhai, BICMR
Time: May 15, 2015 2:00-2:50pm
Venue: Room 09 at Quan Zhai, BICMR
Speaker: Andrew Schaug (University of Michigan)
Abstract: Borcea-Voisin orbifolds provided some of the eariest examples of mirror symmetry in the Hodge-diamond sense back in the early 1990s, but their quantum theory has been poorly understood. In this talk I will discuss the Gromov-Witten theory of certain Borcea-Voisin orbifolds of Gromov-Witten type, included as one chamber within a GLSM framework newly defined by Fan, Jarvis and Ruan. This framework encompasses three other theories: FJRW theory and two 'mixed' theories, and I outline a proof that the I-functions of the other chambers are related by analytic continuation and symplectic transformation. This includes what may be viewed as a form of the Landau-Ginzburg/Calabi-Yau correspondence.