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arXiv · 1911.07949

Donaldson-Thomas theory of quantum Fermat quintic threefolds I

Yu-Hsiang Liu
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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.

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Yu-Hsiang Liu. 2019-11-18. Donaldson-Thomas theory of quantum Fermat quintic threefolds I. https://arxiv.org/abs/1911.07949

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