Local BPS Invariants: Enumerative Aspects and Wall-Crossing
Algebraic Geometry
2018-09-10 v2 High Energy Physics - Theory
Abstract
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 surface . We calculate the Poincare polynomials of the moduli spaces for the curve classes having arithmetic genus at most 2. We formulate a conjecture that these Poincare polynomials are divisible by the Poincare polynomials of -dimensional projective space. This conjecture motivates upcoming work on log BPS numbers.
Cite
@article{arxiv.1804.00679,
title = {Local BPS Invariants: Enumerative Aspects and Wall-Crossing},
author = {Jinwon Choi and Michel van Garrel and Sheldon Katz and Nobuyoshi Takahashi},
journal= {arXiv preprint arXiv:1804.00679},
year = {2018}
}
Comments
18 pages