Gromov-Witten invariants and rational curves on Grassmannians

TL;DR

This paper explores the relationship between Gromov-Witten invariants and rational curves on Grassmannians, providing a geometric interpretation of these invariants in enumerative geometry.

Contribution

It offers a new interpretation of Gromov-Witten invariants on homogeneous spaces in terms of rational curves, enhancing understanding of their enumerative significance.

Findings

Gromov-Witten invariants relate to counts of rational curves on Grassmannians.

Provides a geometric interpretation of these invariants.

Advances enumerative geometry of homogeneous spaces.

Abstract

We study the enumerative significance of the s-pointed genus zero Gromov-Witten invariant on a homogeneous space X. For that, we give an interpretation in terms of rational curves on X.