Michel van Garrel

This is joint work with Tony Wong and Gjergji Zaimi. Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert and conjectured to be integers. For toric Del Pezzo surfaces, a proof of this conjecture...

Let S be a smooth Del Pezzo surface. We introduce three seemingly unrelated sets of invariants: local BPS state counts of S, relative BPS state counts of S relative to a smooth anticanonical divisor, and generalized DT invariants of the m-loop quiver...