Categorification of Donaldson-Thomas invariants by Perverse Sheaves
Algebraic Geometry
2012-10-18 v2
Abstract
We show that there is a natural perverse sheaf on the moduli space of semistable sheaves on a smooth projective Calabi-Yau 3-fold which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional. This gives us a cohomology theory whose Euler numbers are Donaldson-Thomas invariants.
Keywords
Cite
@article{arxiv.1210.3910,
title = {Categorification of Donaldson-Thomas invariants by Perverse Sheaves},
author = {Young-Hoon Kiem and Jun Li},
journal= {arXiv preprint arXiv:1210.3910},
year = {2012}
}
Comments
It was brought to the authors' attention that there is an important sign issue that was overlooked, so this paper is withdrawn by the authors