On Block-Goettsche multiplicities for planar tropical curves

Abstract

We prove invariance for the number of planar tropical curves enhanced with polynomial multiplicities recently proposed by Florian Block and Lothar Goettsche. This invariance has a number of implications in tropical enumerative geometry.

Cited by in corpus (2)

• Refined curve counting with tropical geometry
• The chi-y genera of relative Hilbert schemes for linear systems on Abelian and K3 surfaces