F. Hebestreit

activity

20112024

most citedA vanishing theorem for tautological classes of aspherical manifolds

16 citations · 81 across the 17 of their papers we have counts for

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math.CT2021

A short proof of the straightening theorem

Fabian Hebestreit, Gijs Heuts, Jaco Ruit

We provide a short and reasonably self-contained proof of Lurie's straightening equivalence, relating cartesian fibrations over a given $\infty$ -category $S$ with contravariant fun…

math.CT2020

Two-variable fibrations, factorisation systems and $\infty$ -categories of spans

Rune Haugseng, Fabian Hebestreit, Sil Linskens +1

We prove a universal property for $\infty$ -categories of spans in the generality of Barwick's adequate triples, explicitly describe the cocartesian fibration corresponding to the s…

math.CT2020★ 2 cited

Lax monoidal adjunctions, two-variable fibrations and the calculus of mates

Rune Haugseng, Fabian Hebestreit, Sil Linskens +1

We provide a calculus of mates for functors to the $\infty$ -category of $\infty$ -categories and extend Lurie's unstraightening equivalences to show that (op)lax natural transformat…

A short proof of the straightening theorem

Two-variable fibrations, factorisation systems and ∞-categories of spans

Lax monoidal adjunctions, two-variable fibrations and the calculus of mates

Two-variable fibrations, factorisation systems and $\infty$ -categories of spans