1. A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections
    Adrien Brochier
    Comm. Math. Phys. 2012, 311, 55-96
  2. Cyclotomic associators and finite type invariants for tangles in the solid torus
    Adrien Brochier
    Algebraic & Geometric Topology (2013) 13 3365-3409
  3. Fourier transform for quantum D-modules via the punctured torus mapping class group
    Adrien Brochier, David Jordan
    Quantum Topology (2017) 8(2):361-379
  4. Integrating quantum groups over surfaces
    Adrien Brochier, David Ben-Zvi, David Jordan
    Journal of Topology (2018) 11:874-917
  5. Virtual tangles and fiber functors
    Adrien Brochier
    JKTR 20(7):1950044
  6. A Duflo star product for Poisson groups
    Adrien Brochier
    SIGMA (2016) 12, 088
    Erratum The proof of Prop. 3.4 is clearly wrong: the assertion that $(S \otimes S \otimes S)(\Phi)=\Phi^{-1}$ is equivalent to $\Phi$ being even, which gives back Le-Murakami’s original statement. In fact, the statement is just wrong for non even associators, see Rmk 4.2.8 in Ján Pulmann’s thesis. I still believe that Prop. 3.8, which is the statement I really needed, is true in general, but I don’t know how to prove it. Ironically Prop 3.8 was supposed to fix a mistake in Etingof–Kazhdan’s paper on quantization of Lie bialgebras, so at the moment this fix is valid only for even associators.
  7. Quantum character varieties and braided module categories
    Adrien Brochier, David Ben-Zvi, David Jordan
    Selecta Mathematica (2018) 24, pp 4711–4748
    Erratum The definition of a quantum moment map is incomplete. The correct definition can be found in Pavel Safronov’s paper.
  8. On dualizability of braided tensor categories
    Adrien Brochier, David Jordan, Noah Snyder
    Compositio Mathematica (2021), 157(3) 435-483
  9. Invertible braided tensor categories
    Adrien Brochier, David Jordan, Pavel Safronov, Noah Snyder
    Algebraic & Geometric Topology (2021) 21, 2107–2140
    Erratum Thm 2.2 is stated as if we proved it for an arbitrary $(\infty,1)$ symmetric monoidal category $S$, though the proof as written assume $S=Pr$ the discrete category of locally presentable category.
  10. Gaudin Algebras, RSK and Calogero-Moser Cells in Type A
    Adrien Brochier, Iain Gordon, Noah White
    Proceedings of the London Mathematical Society 126.5 (2023): 1467-1495
  11. A Classification of Modular Functors via Factorization Homology
    Adrien Brochier, Lukas Woike


Some (unfinished) notes




Since it doesn’t seem that they’re available online, here are scanned copies of two of my favourite papers: