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math.DG2025
-algebroids and the variety of foliation jets
Francis Bischoff, Álvaro del Pino, Aldo Witte
We introduce and classify singular foliations of -type, which formalize the properties of vector fields that are tangent to a submanifold to order . When…
math.AT2025
Thin homotopy and the signature of piecewise linear surfaces
Francis Bischoff, Darrick Lee
We introduce a crossed module of piecewise linear surfaces and study the signature homomorphism, defined as the surface holonomy of a universal translation invariant -connection…