12 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
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.…
Deformations and Lifts of Calabi-Yau Varieties in Characteristic
Lukas Brantner, Lenny Taelman
We study deformations of Calabi-Yau varieties in characteristic using techniques from derived algebraic geometry. We prove a mixed characteristic analogue of the Bogomolov-Tian…
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…
Deformation Theory and Partition Lie Algebras
Lukas Brantner, Akhil Mathew
A theorem of Lurie and Pridham establishes a correspondence between formal moduli problems and differential graded Lie algebras in characteristic zero, thereby formalising a well-k…