5 papers
An outline of shifted Poisson structures and deformation quantisation in derived differential geometry
J. P. Pridham
We explain how to translate several recent results in derived algebraic geometry to derived differential geometry. These concern shifted Poisson structures on NQ-manifolds, Lie gro…
Derived derivations govern contraderived deformations of dg algebras over dg (pr)operads
J. P. Pridham
We show that Hinich's simplicial nerve of the differential graded Lie algebra (DGLA) of derived derivations of a dg algebra over a dg properad is equivalent to th…
Non-commutative derived analytic moduli functors
J. P. Pridham
We develop a formulation for non-commutative derived analytic geometry built from differential graded (dg) algebras equipped with free entire functional calculus (FEFC), relating t…
Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks
J. P. Pridham
We introduce the notions of shifted bisymplectic and shifted double Poisson structures on differential graded associative algebras, and more generally on non-commutative derived mo…
Quantisation of derived Poisson structures
J. P. Pridham
We prove that every -shifted Poisson structure on a derived Artin -stack admits a curved deformation quantisation whenever the stack has perfect cotangent comple…