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arXiv · 1210.3910

Categorification of Donaldson-Thomas invariants by Perverse Sheaves

Young-Hoon Kiem·Jun Li
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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.

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Young-Hoon Kiem, Jun Li. 2012-10-15. Categorification of Donaldson-Thomas invariants by Perverse Sheaves. https://arxiv.org/abs/1210.3910

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