104 citations · 256 across the 8 of their papers we have counts for
9 papers
The cyclic Deligne conjecture and Calabi-Yau structures
Christopher Brav, Nick Rozenblyum
The Deligne conjecture (many times a theorem) endows Hochschild cochains of a linear category with the structure of an -algebra, that is, of an algebra over the little 2-disks…
Relative Calabi-Yau structures II: Shifted Lagrangians in the moduli of objects
Christopher Brav, Tobias Dyckerhoff
We show that a Calabi-Yau structure of dimension on a smooth dg category induces a symplectic form of degree on the moduli space of objects . We show moreover…
Relative Calabi-Yau structures
Christopher Brav, Tobias Dyckerhoff
We introduce relative noncommutative Calabi-Yau structures defined on functors of differential graded categories. Examples arise in various contexts such as topology, algebraic geo…
A 'Darboux Theorem' for shifted symplectic structures on derived Artin stacks, with applications
Oren Ben-Bassat, Christopher Brav, Vittoria Bussi +1
This is the fifth in a series arXiv:1304.4508, arXiv:1305,6302, arXiv:1211.3259, arXiv:1305.6428 on the '-shifted symplectic derived algebraic geometry' of Pantev, Toen, Vaquie…
A 'Darboux theorem' for derived schemes with shifted symplectic structure
Christopher Brav, Vittoria Bussi, Dominic Joyce
We prove a 'Darboux theorem' for derived schemes with symplectic forms of degree , in the sense of Pantev, Toen, Vaquie and Vezzosi arXiv:1111.3209. More precisely, we show th…
Symmetries and stabilization for sheaves of vanishing cycles
Christopher Brav, Vittoria Bussi, Delphine Dupont +2
Let be a smooth -scheme, a regular function, and Crit the critical locus, as a -subscheme of . Then one can define the "pe…