A Quadratically Enriched Correspondence Theorem

Abstract

We quadratically enrich Mikhalkin's correspondence theorem. That is, we prove a correspondence between algebraic curves on a toric surface counted with Levine's quadratic enrichment of the Welschinger sign, and tropical curves counted with a quadratic enrichment of Mikhalkin's multiplicity for tropical curves.

arXiv comment44 pages, 13 figures; typos corrected, references added, figures updated