Refined count for rational tropical curves in arbitrary dimension

In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by F. Block and L. G\"ottsche in arXiv:1407.2901 . We then prove an invariance statement for the count of rational tropical curves in seve...

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Bibliographic Details
Published in:arXiv.org 2021-03
Main Author: Blomme, Thomas
Format: Article
Language:English
Subjects:
Polynomials
Online Access:Get full text
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Summary:In this paper we introduce a refined multiplicity for rational tropical curves in arbitrary dimension, which generalizes the refined multiplicity introduced by F. Block and L. G\"ottsche in arXiv:1407.2901 . We then prove an invariance statement for the count of rational tropical curves in several enumerative problems using this new refined multiplicity. This leads to the definition of Block-G\"ottsche polynomials in any dimension.
ISSN:2331-8422