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On Gromov-Witten invariants of P^1

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Gaetan Borot
Die, 2019-06-25 14:00 - 15:00
MPIM Lecture Hall

Okounkov and Pandharipande derived Virasoro constraints for Gromov-Witten theory of P^1. Later and independently, using Teleman reconstruction theorem and its correspondence with topological recursion, Dunin-Barkowski et al. proved that the stationary sector is encoded in the meromorphic forms w_{g,n} computed by the topological recursion for the spectral curve x(z) = z + 1/z, y(z) = \ln z. This statement is equivalent to local Virasoro constraints. I will explain how the non-stationary sector is encoded in same meromorphic forms w_{g,n} and how local Virasoro constraints imply (in a perhaps interesting way) the Virasoro constraints of Okounkov and Pandharipande.

This is based on a joint work with Paul Norbury.

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