Block-G\"ottsche invariants from wall-crossing

Compositio Mathematica 151 (2015) 1543-1567 We show how some of the refined tropical counts of Block and G\"ottsche emerge from the wall-crossing formalism. This leads naturally to a definition of a class of putative q-deformed Gromov-Witten invariants. We prove that this coincides with another...

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Bibliographic Details
Main Authors Filippini, Sara Angela, Stoppa, Jacopo
Format Journal Article
LanguageEnglish
Published 20.12.2012
Subjects
Mathematics - Algebraic Geometry
Mathematics - Representation Theory
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Summary:Compositio Mathematica 151 (2015) 1543-1567 We show how some of the refined tropical counts of Block and G\"ottsche emerge from the wall-crossing formalism. This leads naturally to a definition of a class of putative q-deformed Gromov-Witten invariants. We prove that this coincides with another natural q-deformation, provided by a result of Reineke and Weist in the context of quiver representations, when the latter is well defined.
DOI:10.48550/arxiv.1212.4976