New perspectives on Quantum cohomology of $\mathbb{CP}^2$

Guilherme Feitosa de Almeida (University of Mannheim)

Tuesday 21st March, 2023 16:00-17:00 Maths 311B


Quantum cohomology is a "quantum" deformation of ordinary cohomology. These deformations encode topological invariants called Gromov Witten invariants.  The generating function of the genus 0 Gromov-Witten invariants does satisfy  a Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations.  Generally, WDDV solutions are only formal power series and to understand its analytical properties is a challenge problem. In this talk, I review new and old approaches to investigate the largest domain possible of WDVV solution of $\mathbb{CP}^2$.

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