|DATE||July 15 (Mon), 2019|
|HOST||P. Murillo, Plinio G.|
|TITLE||[GS_M_All] Three W's Seminar: Splitting of genus 1 Gromov-Witten invariants.|
|ABSTRACT||Gromov-Witten invariant, which can be considered as a number counting curves in a variety, appears in both symplectic/algebraic geometry. When a variety is a complete intersection in a projective space, A. Zinger developed a way to split genus 1 GW invariant (counting genus 1 curves) to reduced invariant and genus 0 invariants. This reduced invariant can be expressed by an Euler class of some vector bundle on some smooth space. This splitting is related to the geometry of moduli space of curves in a variety, which is called stable map space.
In this talk, we will talk about the geometry of the genus 1 stable map space and how this give us a way of splitting genus 1 invariants.