The Library
Local BPS invariants : enumerative aspects and wall-crossing
Tools
Choi, Jinwon, van Garrel, Michel, Katz, Sheldon and Takahashi, Nobuyoshi (2020) Local BPS invariants : enumerative aspects and wall-crossing. International Mathematics Research Notices, 2020 (17). pp. 5450-5475. doi:10.1093/imrn/rny171 ISSN 1073-7928.
|
PDF
WRAP-local-BPS-invariants-van Garrel-2018.pdf - Accepted Version - Requires a PDF viewer. Download (696Kb) | Preview |
Official URL: http://dx.doi.org/10.1093/imrn/rny171
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 Poincaré polynomials of the moduli spaces for the curve classes β having arithmetic genus at most 2. We formulate a conjecture that these Poincaré polynomials are divisible by the Poincaré polynomials of (( − K S ) .β − 1)-dimensional projective space. This conjecture motivates upcoming work on log BPS numbers.
Item Type: | Journal Article | ||||||||||||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||||||||||||||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Surfaces, Algebraic, Polynomials, Invariants | ||||||||||||||||||||||||||||||
Journal or Publication Title: | International Mathematics Research Notices | ||||||||||||||||||||||||||||||
Publisher: | Oxford University Press | ||||||||||||||||||||||||||||||
ISSN: | 1073-7928 | ||||||||||||||||||||||||||||||
Official Date: | September 2020 | ||||||||||||||||||||||||||||||
Dates: |
|
||||||||||||||||||||||||||||||
Volume: | 2020 | ||||||||||||||||||||||||||||||
Number: | 17 | ||||||||||||||||||||||||||||||
Page Range: | pp. 5450-5475 | ||||||||||||||||||||||||||||||
DOI: | 10.1093/imrn/rny171 | ||||||||||||||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||||||||||||||
Reuse Statement (publisher, data, author rights): | This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record Jinwon Choi, Michel van Garrel, Sheldon Katz, Nobuyoshi Takahashi; Local BPS Invariants: Enumerative Aspects and Wall-Crossing, International Mathematics Research Notices, , rny171, https://doi.org/10.1093/imrn/rny171 is available online at: https://doi.org/10.1093/imrn/rny171 | ||||||||||||||||||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||||||||||||||||||||
Date of first compliant deposit: | 11 September 2018 | ||||||||||||||||||||||||||||||
Date of first compliant Open Access: | 2 August 2019 | ||||||||||||||||||||||||||||||
RIOXX Funder/Project Grant: |
|
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year