Francis Bischoff

works on

character varieties 1 poisson geometry 1 symplectic degeneration 1 symplectic variation 1 truncated polynomial groups 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.DG2026

Polynomial degeneration and the Poisson geometry of truncated polynomials

Francis Bischoff, Aldo Witte

The paper introduces a formalism for geometric structures that degenerate polynomially along a hypersurface and applies it to Poisson geometry, constructing generically symplectic…

math.DG2025

$b^{k}$ -algebroids and the variety of foliation jets

Francis Bischoff, Ãlvaro del Pino, Aldo Witte

We introduce and classify singular foliations of $b^{k + 1}$ -type, which formalize the properties of vector fields that are tangent to a submanifold $W \subset M$ to order $k$ . 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 $2$ -connection…

Polynomial degeneration and the Poisson geometry of truncated polynomials

bk-algebroids and the variety of foliation jets

Thin homotopy and the signature of piecewise linear surfaces

$b^{k}$ -algebroids and the variety of foliation jets