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arXiv · 1212.4976

Block-Göttsche invariants from wall-crossing

Sara Angela Filippini·Jacopo Stoppa
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Abstract

We show how some of the refined tropical counts of Block and Göttsche 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.

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Sara Angela Filippini, Jacopo Stoppa. 2015-11-29. Block-Göttsche invariants from wall-crossing. https://doi.org/10.1112/s0010437x14007994

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