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arxiv: 1210.3910 · v2 · pith:ZQ4PGI3Hnew · submitted 2012-10-15 · 🧮 math.AG

Categorification of Donaldson-Thomas invariants by Perverse Sheaves

classification 🧮 math.AG
keywords perversedonaldson-thomasinvariantssheafsheavescalabi-yaucategorificationchern-simons
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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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