On an example of quiver DT/relative GW correspondence

Abstract

We explain and generalize a recent result of Reineke-Weist by showing how to reduce it to the Gromov-Witten/Kronecker correspondence by a degeneration and blow-up. We also refine the result by working with all genera on the Gromov-Witten side and with refined Donaldson-Thomas invariants on the quiver side.

v3: 37 pages, minor correction in Section 2.4 compared to the version published in Int. Math. Res. Not. (IMRN)

References in corpus (3)

• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Local Gromov-Witten Invariants are Log Invariants
• Decomposition of degenerate Gromov-Witten invariants

Cited by in corpus (1)

• Refined floor diagrams from higher genera and lambda classes