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math.DG2025
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.DG2024
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…
math.DG2024
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.