6 citations · 11 across the 5 of their papers we have counts for
7 papers
Intrinsic enumerative mirror symmetry: Takahashi's log mirror symmetry for revisited
Michel van Garrel, Helge Ruddat, Bernd Siebert
Let be a smooth cubic in the projective plane . Nobuyoshi Takahashi formulated a conjecture that expresses counts of rational curves of varying degree in $\mathbb…
Stable maps to Looijenga pairs: orbifold examples
Pierrick Bousseau, Andrea Brini, Michel van Garrel
In arXiv:2011.08830 we established a series of correspondences relating five enumerative theories of log Calabi-Yau surfaces, i.e. pairs with a smooth projective comple…
Log BPS numbers of log Calabi-Yau surfaces
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
Let be a log Calabi-Yau surface pair with a smooth divisor. We define new conjecturally integer-valued counts of -curves in . These log BPS numbers…
Local BPS Invariants: Enumerative Aspects and Wall-Crossing
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler characteristic of the moduli spaces of stable one-dimensional sheaves on the sur…
Local and relative BPS state counts for del Pezzo surfaces
Michel van Garrel
Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert. We describe how in the case of del Pezzo surfaces they are linearly relat…
On a conjecture by N. Takahashi on log mirror symmetry for the projective plane
Michel van Garrel
The relationship between local and relative BPS state counts is explored in light of a conjecture on log mirror symmetry by N. Takahashi.
Integrality of relative BPS state counts of toric Del Pezzo surfaces
Michel van Garrel, Tony W. H. Wong, Gjergji Zaimi
Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert and conjectured by the authors to be integers. For toric Del Pezzo surface…