Block-G\"ottsche invariants from wall-crossing
Algebraic Geometry
2015-12-01 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1212.4976,
title = {Block-G\"ottsche invariants from wall-crossing},
author = {Sara Angela Filippini and Jacopo Stoppa},
journal= {arXiv preprint arXiv:1212.4976},
year = {2015}
}
Comments
v1: 15 pages. v2: 26 pages, 8 figures. Added several sections including a discussion of relation to refined Severi degrees