19 citations · 48 across the 12 of their papers we have counts for
12 papers
Planar curve singularities having constant intersection multiplicity with a smooth boundary
Nobuyoshi Takahashi
We study deformations of curve singularities in a smooth surface having a constant local intersection multiplicity with a smooth boundary curve. In particular, we consider the…
Moduli spaces of one dimensional sheaves on log surfaces and Hilbert schemes
Nobuyoshi Takahashi
Let be a smooth projective rational surface, an effective anticanonical curve, a curve class on and an effective divisor on $D_{…
Modules over quandle spaces and representations of Lie-Yamaguti algebras
Nobuyoshi Takahashi
We study quandle modules over quandle spaces , i.e. quandles endowed with geometric structures. In the case is a regular -manifold, we exhibit how modules over are re…
Sheaves of maximal intersection and multiplicities of stable log maps
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
A great number of theoretical results are known about log Gromov-Witten invariants, but few calculations are worked out. In this paper we restrict to surfaces and to genus 0 stable…
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…