(COW) Open-Closed Duality is Mirror to the Double Suspension

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• Michel van Garrel, Warwick
• Thursday 07 February 2019, 14:00-15:00
• CMS MR9.

If you have a question about this talk, please contact Mark Gross.

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.

This talk is part of the Algebraic Geometry Seminar series.

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