88 citations · 181 across the 9 of their papers we have counts for
11 papers
A Classification of Modular Functors via Factorization Homology
Adrien Brochier, Lukas Woike
Modular functors are traditionally defined as systems of projective representations of mapping class groups of surfaces that are compatible with gluing. They can formally be descri…
Gaudin Algebras, RSK and Calogero-Moser Cells in Type A
Adrien Brochier, Iain Gordon, Noah White
We study the spectrum of a family of algebras, the inhomogeneous Gaudin algebras, acting on the -fold tensor representation of the Lie…
Invertible braided tensor categories
Adrien Brochier, David Jordan, Pavel Safronov +1
We prove that a finite braided tensor category A is invertible in the Morita 4-category BrTens of braided tensor categories if, and only if, it is non-degenerate. This includes the…
On dualizability of braided tensor categories
Adrien Brochier, David Jordan, Noah Snyder
We study the question of dualizability in higher Morita categories of locally presentable tensor categories and braided tensor categories. Our main results are that the 3-category…
Quantum character varieties and braided module categories
David Ben-Zvi, Adrien Brochier, David Jordan
We compute quantum character varieties of arbitrary closed surfaces with boundaries and marked points. These are categorical invariants of a surface , determi…
A Duflo Star Product for Poisson Groups
Adrien Brochier
Let be a finite-dimensional Poisson algebraic, Lie or formal group. We show that the center of the quantization of provided by an Etingof-Kazhdan functor is isomorphic as a…
Virtual tangles and fiber functors
Adrien Brochier
We define a category of tangles diagrams drawn on surfaces with boundaries. On the one hand we show that there is a natural functor from the category of virtual tang…
Integrating quantum groups over surfaces
David Ben-Zvi, Adrien Brochier, David Jordan
We apply the mechanism of factorization homology to construct and compute category-valued two-dimensional topological field theories associated to braided tensor categories, genera…
Fourier transform for quantum -modules via the punctured torus mapping class group
Adrien Brochier, David Jordan
We construct a certain cross product of two copies of the braided dual of a quasitriangular Hopf algebra , which we call the elliptic double , and which we use t…
Cyclotomic associators and finite type invariants for tangles in the solid torus
Adrien Brochier
The universal Vassiliev-Kontsevich invariant is a functor from the category of tangles to a certain graded category of chord diagrams, compatible with the Vassiliev filtration and…
A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections
Adrien Brochier
We compute explicitly the monodromy representations of "cyclotomic" analogs of the Knizhnik--Zamolodchikov differential system. These are representations of the type B braid group…