Young-Hoon Kiem, Jun Li
Published 2012-10-15, updated 2012-10-17Version 2
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.
Comments: It was brought to the authors' attention that there is an important sign issue that was overlooked, so this paper is withdrawn by the authors
Categorification of Donaldson-Thomas invariants via Perverse Sheaves
Deformation quantization and perverse sheaves
Applications of perverse sheaves in commutative algebra
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