Pré-Publication, Document De Travail Année : 2025

Derived Foliations

Résumé

This is a first version of a book on derived foliations, that are a generalisation of classical foliations in the context of derived algebraic geometry. The text starts with the basic definitions and constructions, then explore foliated cohomology (with crystal coefficients), formal and analytic integrability problems, existence of the leaf space, characteristic classes, and two different notions of derived foliation in arbitrary characteristics.

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Dates et versions

hal-05193556 , version 1 (30-07-2025)

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  • HAL Id : hal-05193556 , version 1

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Bertrand Toen, Gabriele Vezzosi. Derived Foliations. 2025. ⟨hal-05193556⟩
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