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Gromov-Witten invariants via R-matrix reconstruction

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Kai Hugtenburg
Lancaster University (UK)
Tue, 31/10/2023 - 13:00 - 14:00
MPIM Lecture Hall

Gromov-Witten theory defines a cohomological field theory (CohFT). Teleman classified semi-simple CohFTs in terms of an ‘R-matrix’. In particular, this allows one to compute higher genus Gromov-Witten invariants of spaces with semi-simple quantum cohomology from their genus 0, 3 point invariants. In this talk I will show that this approach might extend to the non semi-simple setting. The inspiration for this is the Fukaya category and the cyclic open closed map. Time permitting, I will shift focus to open Gromov-Witten invariants, and what information the Fukaya category determines.

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