Block-Göttsche invariants from wall-crossing

S A Filippini (1) , J Stoppa

1 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Géométrie algébrique [math.AG]

S A Filippini, J Stoppa. Block-Göttsche invariants from wall-crossing. Compositio Mathematica, 2015, 151 (8), pp.1543-1567. ⟨10.1112/S0010437X14007994⟩. ⟨hal-01432041⟩