Geodesic
Symmetries and stabilization for sheaves of vanishing cycles
Journal of Singularities, Tome 11 (2015), pp. 85-151

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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. 
@article{10_5427_jsing_2015_11e,
     author = {Christopher Brav and Vittoria Bussi and Delphine Dupont and Dominic Joyce, and Bal\'azs Szendr\H{o}i and with an Appendix by J\"org Sch\"urmann},
     title = {Symmetries and stabilization for sheaves of vanishing cycles},
     journal = {Journal of Singularities},
     pages = {85--151},
     publisher = {mathdoc},
     volume = {11},
     year = {2015},
     doi = {10.5427/jsing.2015.11e},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.11e/}
}
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AU  - Dominic Joyce,
AU  - Balázs Szendrői
AU  - with an Appendix by Jörg Schürmann
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%A Delphine Dupont
%A Dominic Joyce,
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%J Journal of Singularities
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Christopher Brav; Vittoria Bussi; Delphine Dupont; Dominic Joyce,; Balázs Szendrői; with an Appendix by Jörg Schürmann. Symmetries and stabilization for sheaves of vanishing cycles. Journal of Singularities, Tome 11 (2015), pp. 85-151. doi: 10.5427/jsing.2015.11e

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