with an Appendix by Jörg Schürmann
Journal of Singularities
volume 11 (2015), 85-151
Received: 18 December 2013. Received in revised form: 20 May 2015.
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.
Christopher Brav, Faculty of Mathematics, Higher School of Economics, 7 Vavilova Str., Moscow, Russia
Vittoria Bussi, ICTP, Strada Costiera 11, Trieste, Italy
Jörg Schürmann, Mathematische Institut, Universität Münster, Einsteinstrasse62, 48149 Münster, Germany