An important application of tropical geometry is Mikhalkin's correspondence theorem. It states that counting algebraic curves on toric surfaces is the same as counting tropical curves with multiplicities. Several multiplicities can be chosen. In particular, the count with the Block-Göttsche multiplicities leads to the tropical refined invariant, which is a polynomial. In this talk we will investigate the polynomial behavior of the coefficients of this invariant.
Universal polynomials for coefficients of tropical refined invariant in genus 0
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Nom de l'orateur
Gurvan Mével
Etablissement de l'orateur
LMJL
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