We give an account of the theory of factorization spaces, categories, functors, and algebras,
following the approach of [Ras1]. We apply these results to give geometric constructions of …

We develop a theory of equivariant factorization algebras on varieties with an action of a
connected algebraic group G, extending the definitions of Francis-Gaitsgory and Beilinson …

We explain how to perform topological twisting of supersymmetric field theories in the
language of factorization algebras. Namely, given a supersymmetric factorization algebra …

In this paper we prove, with details and in full generality, that the isomorphism induced on
tangent homology by the Shoikhet-Tsygan formality L∞-quasi-isomorphism for Hochschild …

These notes are an expanded version of two series of lectures given at the winter school in
mathematical physics at les Houches and at the Vietnamese Institute for Mathematical …

Given a topological modular functor $\mathcal {V} $ in the sense of Walker\cite {Walker}, we
construct vector bundles over $\bar {\mathcal {M}} _ {g, n} $, whose Chern classes define …

We study differential cohomology on categories of globally hyperbolic Lorentzian manifolds.
The Lorentzian metric allows us to define a natural transformation whose kernel generalizes …

The product of local operators in a topological quantum field theory in dimension greater
than one is commutative, as is more generally the product of extended operators of …

We study the higher Hochschild functor, factorization algebras and their relationship with
topological chiral homology. To this end, we emphasize that the higher Hochschild complex …

Factorization algebras are local-to-global objects that play a role in classical and quantum
field theory that is similar to the role of sheaves in geometry: they conveniently organize …