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arXiv · 1803.07778

Moduli spaces of point configurations and plane curve counts

Markus Reineke·Thorsten Weist
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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.

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Markus Reineke, Thorsten Weist. 2018-03-21. Moduli spaces of point configurations and plane curve counts. https://arxiv.org/abs/1803.07778

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