Primitive invariants from laminations

TL;DR

This paper explores how primitive cohomologies and geodesic laminations can be used to better understand Gromov-Witten invariants, especially for complete intersections in projective space, by combining geometric group theory and topology.

Contribution

It introduces a novel approach linking primitive cohomologies and laminations to the study of Gromov-Witten invariants, unifying aspects of geometric group theory and topology.

Findings

Primitive cohomologies offer new insights into Gromov-Witten invariants.

Geodesic laminations are effective tools for analyzing invariants in projective spaces.

The approach unifies geometric group theory techniques with geometric topology.

Abstract

Combining geometric group theory techniques with geometric topology tools, we show how primitive cohomologies provide useful insights towards unifying the mathematical formulation of Gromov-Witten invariants. In particular, we emphasise the role played by geodesic laminations in analysing such invariants for the case of complete intersections in projective space.