Oscillatory integrals on the T-dual cycle(GPS)
Student No.:50
Time:Thu 10:30-12:00, 2017-6-22
Instructor:Bohan Fang  [BICMR]
Place:Conference room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2017-6-22
Ending Date:2017-6-22



The mirror of a complete toric variety is a Landau-Ginzburg model. The oscillatory integral of the superpotential function on a Lagrangian cycle mirror to a coherent sheaf is a B-model genus 0 invariant. I will describe a way to compute it, and the answer is a genus 0 Gromov-Witten descendant potential with certain Gamma class of the coherent sheaf inserted. This result is related to Iritani's result identifying the integral structures on both sides. When the toric variety is P^1, this result can be extended to compute all genus descendants from Eynard-Orantin's topological recursion theory on the mirror of P^1.



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