Categorification of Donaldson-Thomas invariants via Perverse Sheaves
57 citations recorded by the source corpus.
We show that there is a perverse sheaf on a fine moduli space of stable sheaves on a smooth projective Calabi-Yau 3-fold, which is locally the perverse sheaf of vanishing cycles for a local Chern-Simons functional, possibly after taking an etale Galois cover. This perverse sheaf lifts to a mixed Hodge module and gives us a cohomology theory which enables us to define the Gopakumar-Vafa invariants mathematically.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0ead6d1c02e3b32de9bcc7d4b25e428cae8e9d85
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In Geometry and Topology
- D. Joyce
- Christopher Brav
- Vittoria Bussi
- Balázs Szendrői
- Delphine Dupont
- Yukinobu Toda
- Yinan Song
- T. Bridgeland
In Mathematical Physics
- D. Joyce
- Christopher Brav
- Vittoria Bussi
- Balázs Szendrői
- Delphine Dupont
- Yukinobu Toda
- Yinan Song
- T. Bridgeland
Citations in the corpus
- Symmetries and stabilization for sheaves of vanishing cycles (2012, background): “In a paper written independently of our programme [9, 11, 23], Kiem and Li [31] have recently proved an analogue of Corollary 6.”