111 citations · 756 across the 39 of their papers we have counts for
41 papers
Topological field theories associated with Calabi-Yau categories
Tristan Bozec, Damien Calaque, Sarah Scherotzke
We construct symmetric monoidal higher categories of iterated Calabi-Yau cospans, that are noncommutative analogs of iterated lagrangian correspondences. We actually give a general…
Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone
Damien Calaque, Pavel Safronov
This article generalizes the theory of shifted symplectic structures to the relative context and non-geometric stacks. We describe basic constructions that naturally appear in this…
Derived symplectic geometry
Damien Calaque
This is an invited contribution to the 2nd edition of the Encyclopedia of Mathematical Physics, that provides a very short survey of derived symplectic geometry. Derived symplectic…
Calabi-Yau structures on (quasi-)bisymplectic algebras
Tristan Bozec, Damien Calaque, Sarah Scherotzke
We show that relative Calabi--Yau structures on noncommutative moment maps give rise to (quasi-)bisymplectic structures, as introduced by Crawley-Boevey-Etingof-Ginzburg (in the ad…
The AKSZ Construction in Derived Algebraic Geometry as an Extended Topological Field Theory
Damien Calaque, Rune Haugseng, Claudia Scheimbauer
We construct a family of oriented extended topological field theories using the AKSZ construction in derived algebraic geometry, which can be viewed as an algebraic and topological…
Shifted symplectic reduction of derived critical loci
Mathieu Anel, Damien Calaque
We prove that the derived critical locus of a -invariant function carries a shifted moment map, and that its derived symplectic reduction is the derived cri…