3 papers
math.DG2025
On Multiplicative Weightings for Lie Groupoids and Lie Algebroids
Daniel Hudson
We present a thorough study of the differential geometry of weightings and develop the theory of weightings for vector bundles, Lie groupoids, and Lie algebroids. We begin by exten…
math.DG2023
Linear Weightings and Deformations of Vector Bundles
Daniel Hudson
We define and explore the notion of linear weightings for vector bundles, extending the recent work by Loizides and Meinrenken. We construct weighted normal bundles and deformation…
math.KT2020
Baum-Connes and the Fourier-Mukai transform
Heath Emerson, Dan Hudson
The Baum-Connes map for finitely generated free abelian groups is a K-theoretic analogue of the Fourier-Mukai transform from algebraic geometry. We describe this K-theoretic transf…