most citedA classification of neighborhoods around leaves of a singular foliation

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math.DG2026

Extension of algebroids Part I: The Construction

Simon-Raphael Fischer

In this series of two papers we will generalise the concept of extending a Lie algebroid by a Lie algebra bundle, leading to a notion of extending a Lie algebroid by another Lie al…

math.DG2026★ 1 cited

A classification of neighborhoods around leaves of a singular foliation

Simon-Raphael Fischer, Camille Laurent-Gengoux

We classify singular foliations admitting a given leaf and a given transverse singular foliation.

math.DG2025

Adjusted Connections I: Differential Cocycles for Principal Groupoid Bundles with Connection

Simon-Raphael Fischer, Mehran Jalali Farahani, Hyungrok Kim +1

We develop a new perspective on principal bundles with connection as morphisms from the tangent bundle of the underlying manifold to a classifying dg-Lie groupoid. This groupoid ca…