Journal
COMPOSITIO MATHEMATICA
Volume 151, Issue 8, Pages 1543-1567Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X14007994
Keywords
tropical counts; wall-crossing; Gromov-Witten invariants
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Funding
- Hausdorff Institute for Mathematics
- Bonn (JHRT 'Mathematical Physics')
- GRIFGA
- European Research Council under the European Union's Seventh Framework Programme/ERC Grant agreement [307119]
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We show how some of the refined tropical counts of Block and Gottsche 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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