Open-closed duality is mirror to the double suspension

Michel van-Garrel (Warwick)

Monday 4th February, 2019 16:00-17:00 Maths 311B


Let S be a toric del Pezzo surface and let E be a smooth anticanonical divisor on it. In this talk, I consider both the log geometry given by the pair (S,E) and the local geometry given by the total space of O(-E). The claim is that for the purpose of genus 0 mirror symmetry, they form equivalent geometries. The genus 0 A-model invariants are related to each other by a version of open-closed duality and the B-model geometries by the double suspension. After describing the relevant constructions, I will formulate a theorem of relative mirror symmetry in this context.

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