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math.KT2026
Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture
Heiko Gimperlein, Magnus Goffeng
We prove a sharp, quantitative analogue of Helgason's conjecture at the level of distributions: For a semisimple Lie group of real rank one, Poisson transforms map a Sobolev sp…
math.KT2026
Bordisms and unbounded -theory
Robin J. Deeley, Magnus Goffeng, Bram Mesland
This monograph studies -theory in its unbounded model. The central object is the -bordism group obtained by imposing the -bordism relation on unbounded -cycles. In…
math.KT2024
Solving the index problem for (curved) Bernstein-Gelfand-Gelfand sequences
Magnus Goffeng
We study the index theory of curved Bernstein-Gelfand-Gelfand (BGG) sequences in parabolic geometry and their role in -homology and noncommutative geometry. The BGG-sequences fi…