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arXiv · 1212.6444

Categorification of Donaldson-Thomas invariants via Perverse Sheaves

Young-Hoon Kiem·Jun Li
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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.

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Young-Hoon Kiem, Jun Li. 2012-12-23. Categorification of Donaldson-Thomas invariants via Perverse Sheaves. https://arxiv.org/abs/1212.6444

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