Seminar in Real and Complex Geometry

Thursday, November 9, 2017, 11:00-12:00, Schreiber building, room 209

Ran Tessler, ETH Zürich

Open (CP^1,RP^1) intersection theory and open Gromov-Witten/Hurwitz corrspondence


In the talk we will rigorously define the full genus 0 stationary open Gromov-Witten theory of maps to CP^1 with boundary conditions on RP^1, including descendents, and shortly describe the equivariant version (which is also constructed in genus 0). We will then formally extend the localization construction to all genera, and conjecture that this localization definition can really be made geometrical. We shall show a strong evidence for the correctness of the conjecture: Assuming it, an all genus open extension of the Gromov-Witten/Hurwitz correspondence holds. Joint work with A. Buryak, R. Pandharipande and A. Zernik.