104 citations · 256 across the 8 of their papers we have counts for
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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…
Thin monodromy in Sp(4)
Christopher Brav, Hugh Thomas
We show that some hypergeometric monodromy groups in Sp(4,Z) split as free or amalgamated products and hence by cohomological considerations give examples of Zariski dense, non-ari…