4 papers
Modeling -categories with Segal spaces
Lyne Moser, Joost Nuiten
In this paper, we construct a model structure for -categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show t…
Formal Integration of Derived Foliations
Lukas Brantner, Kirill Magidson, Joost Nuiten
Frobenius' theorem in differential geometry asserts that every involutive subbundle of the tangent bundle of a manifold integrates to a decomposition of into smooth leaves.…
Theta-Categories and Tannakian duality
Joost Nuiten, Bertrand Toen
We introduce a notion of -categories, which is a refinement of the notion of symmetric monoidal -categories. We use this notion to prove a Tannakian duality statement,…
PD Operads and Explicit Partition Lie Algebras
Lukas Brantner, Ricardo Campos, Joost Nuiten
Infinitesimal deformations are governed by partition Lie algebras. In characteristic , these higher categorical structures are modelled by differential graded Lie algebras, but…