16 citations · 52 across the 7 of their papers we have counts for
9 papers · 1 filter
Global group laws and equivariant bordism rings
Markus Hausmann
For every abelian compact Lie group A, we prove that the homotopical A-equivariant complex bordism ring, introduced by tom Dieck (1970), is isomorphic to the A-equivariant Lazard r…
Proper equivariant stable homotopy theory
Dieter Degrijse, Markus Hausmann, Wolfgang Lück +2
This monograph introduces a framework for genuine proper equivariant stable homotopy theory for Lie groups. The adjective `proper' alludes to the feature that equivalences are test…
On the Balmer spectrum for compact Lie groups
Tobias Barthel, J. P. C. Greenlees, Markus Hausmann
We study the Balmer spectrum of the category of finite G-spectra for a compact Lie group G, extending the work for finite G by Strickland, Balmer-Sanders, Barthel-Hausmann-Naumann-…
Commuting matrices and Atiyah's Real K-theory
Simon Gritschacher, Markus Hausmann
We describe the -equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calc…
The Balmer spectrum of the equivariant homotopy category of a finite abelian group
Tobias Barthel, Markus Hausmann, Niko Naumann +3
For a finite abelian group , we determine the Balmer spectrum of , the compact objects in genuine -spectra. This generalizes the case $A=\mathbb{Z}/p\mathbb{…
Symmetric products and subgroup lattices
Markus Hausmann
Let G be a finite group. We show that the rational homotopy groups of symmetric products of the G-equivariant sphere spectrum are naturally isomorphic to the rational homology grou…
Filtrations of global equivariant K-theory
Markus Hausmann, Dominik Ostermayr
Arone and Lesh constructed and studied spectrum level filtrations that interpolate between connective (topological or algebraic) K-theory and the Eilenberg-MacLane spectrum for the…
Symmetric spectra model global homotopy theory of finite groups
Markus Hausmann
We show that the category of symmetric spectra can be used as a model for global equivariant homotopy theory of finite groups.
G-symmetric spectra, semistability and the multiplicative norm
Markus Hausmann
In this paper we develop the basic homotopy theory of G-symmetric spectra (that is, symmetric spectra with a G-action) for a finite group G, as a model for equivariant stable homot…