The stationary open Gromov-Witten theory of (CP^1,RP^1).

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• Ran Tessler (Weizmann Institute)
• Wednesday 06 February 2019, 14:15-15:15
• CMS MR13.

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

We describe the g=0 stationary OGW theory of (CP^1,RP1), including descendents and including equivariant invariants.

We find a very surprising formula for the intersection numbers in terms of sums over graphs, and based on it we are able to define by localization a whole-genus formula.

We conjecture that a true geometric definition that would yield the localization formula can be found.

If time permits I will define the open Hurwitz theory, and give a strong evidence for the correctness of the conjecture:

If it holds, then the all genus open GW/Hurwitz correspondence holds for (CP^1,RP1).

Based on a joint work (to appear) with Alexandr Buryak, Rahul Pandharipande and Amitai Zernik.

This talk is part of the Algebraic Geometry Seminar series.

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