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Regular version of the site

Article

Symmetries and stabilization for sheaves of vanishing cycles

Journal of Singularities. 2015. Vol. 11. P. 85-151.
Brav C. I., Bussi V., Dupont D., Joyce D., Szendrői B.

We study symmetries and stabilization properties of perverse sheaves of vanishing cycles of a regular function on a smooth C-scheme. We also generalize our results to replace the smooth scheme by a complex analytic space, and consider D-modules or mixed Hodge modules. We discuss applications to categorifying Donaldson--Thomas invariants of Calabi-Yau 3-folds, and to defining a 'Fukaya category' of Lagrangians in a complex symplectic manifold using perverse sheaves.