Relative Lefschetz Action and BPS State Counting
Algebraic Geometry
2017-10-20 v2 High Energy Physics - Theory
Abstract
In this paper, we propose a mathematical definition of a new ``numerical invariants" of Calabi--Yau 3-folds from stable sheaves of dimension one, which is motivated by the Gopakumar-Vafa conjecture in M-theory. Moreover, we show that for any projective morphism of normal projective varieties, there exists a natural action on the intersection cohomology group which fits into the perverse Leray spectral sequence.
Cite
@article{arxiv.math/0105148,
title = {Relative Lefschetz Action and BPS State Counting},
author = {Shinobu Hosono and Masa-Hiko Saito and Atsushi Takahashi},
journal= {arXiv preprint arXiv:math/0105148},
year = {2017}
}
Comments
latex file, 25 pages, minor corrections, typos