Raffael Stenzel

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math.CT2026

Symmetry shifting for monoidal bicategories

Raffael Stenzel

We show that every braiding on a monoidal bicategory induces a monoidal structure on its bicategory of monoids, such that if the former is sylleptic or symmetric then the latter is…

math.CT2026

The higher algebra and geometry of monoidal bicategories

Raffael Stenzel

We show that braided, sylleptic and symmetric monoidal bicategories are precisely the $E_{k}$ -monoids in the cartesian monoidal $(\infty, 1)$ -category of bicategories for res…

math.CT2024

Lurie's Unstraightening as a weak biequivalence of $\infty$ -cosmoses

Raffael Stenzel

We give a direct proof of the fact that Lurie's Unstraightening functor induces an equivalence between the strict $(\infty, 2)$ -category of indexed quasi-categories and the strict $…

Symmetry shifting for monoidal bicategories

The higher algebra and geometry of monoidal bicategories

Lurie's Unstraightening as a weak biequivalence of ∞-cosmoses

Lurie's Unstraightening as a weak biequivalence of $\infty$ -cosmoses