Back to Search
Start Over
Local BPS Invariants: Enumerative Aspects and Wall-Crossing
- Publication Year :
- 2018
-
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 $S$. We calculate the Poincare polynomials of the moduli spaces for the curve classes $\beta$ having arithmetic genus at most 2. We formulate a conjecture that these Poincare polynomials are divisible by the Poincare polynomials of $((-K_S).\beta-1)$-dimensional projective space. This conjecture motivates upcoming work on log BPS numbers.<br />Comment: 18 pages
- Subjects :
- Mathematics - Algebraic Geometry
High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1804.00679
- Document Type :
- Working Paper