Moduli spaces of point configurations and plane curve counts
Algebraic Geometry
2018-03-22 v1
Abstract
We identify certain Gromov-Witten invariants counting rational curves with given incidence and tangency conditions with the Betti numbers of moduli spaces of point configurations in projective spaces. On the Gromov-Witten side, S. Fomin and G. Mikhalkin established a recurrence relation via tropicalization, which is realized on the moduli space side using Donaldson-Thomas invariants of subspace quivers.
Keywords
Cite
@article{arxiv.1803.07778,
title = {Moduli spaces of point configurations and plane curve counts},
author = {Markus Reineke and Thorsten Weist},
journal= {arXiv preprint arXiv:1803.07778},
year = {2018}
}
Comments
25 pages