Donaldson-Thomas theory of quantum Fermat quintic threefolds I
Algebraic Geometry
2020-04-23 v2 High Energy Physics - Theory
Abstract
In this paper, we study non-commutative projective schemes whose associated non-commutative graded algebras are finite over their centers. We study their moduli spaces of stable sheaves, and construct a symmetric obstruction theory in the Calabi-Yau-3 case. This allows us to define Donaldson-Thomas type invariants. We also discuss the simplest examples, called quantum Fermat quintic threefolds.
Keywords
Cite
@article{arxiv.1911.07949,
title = {Donaldson-Thomas theory of quantum Fermat quintic threefolds I},
author = {Yu-Hsiang Liu},
journal= {arXiv preprint arXiv:1911.07949},
year = {2020}
}
Comments
22 pages. Fix some typos, move some results to the sequel, and reorganize the paper. Comments are welcome