Categorification of Donaldson-Thomas invariants via Perverse Sheaves
Algebraic Geometry
2016-03-22 v5
Abstract
We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an etale Galois cover. This perverse sheaf lifts to a mixed Hodge module and gives us a cohomology theory which enables us to define the Gopakumar-Vafa invariants mathematically.
Keywords
Cite
@article{arxiv.1212.6444,
title = {Categorification of Donaldson-Thomas invariants via Perverse Sheaves},
author = {Young-Hoon Kiem and Jun Li},
journal= {arXiv preprint arXiv:1212.6444},
year = {2016}
}
Comments
Completely rewritten. 94 pages