39 citations · 181 across the 28 of their papers we have counts for
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More examples of motivic cell structures
Matthias Wendt
In this note, we describe motivic cell structures arising from the Bialynicki-Birula decomposition. This provides a description of the stable A^1-homotopy types of smooth projectiv…
Homotopy invariance for homology of linear groups: the case SL_4
Matthias Wendt
In this paper, we investigate homotopy invariance for homology of SL_4. For any commutative ring, the group E_4(R[t]) acts on a simplicial complex whose contractibility implies hom…
On homology of linear groups over k[t]
Matthias Wendt
This note explains how to prove that for any simply-connected reductive group G and any infinite field k, the inclusion of k in k[t] induces an isomorphism on homology. This genera…
Fibre sequences and localization of simplicial sheaves
Matthias Wendt
In this paper, we discuss the theory of quasi-fibrations in proper Bousfield localizations of model categories of simplicial sheaves. We provide a construction of fibrewise localiz…
Classifying spaces and fibrations of simplicial sheaves
Matthias Wendt
In this paper, we discuss the construction of classifying spaces of fibre sequences in model categories of simplicial sheaves. One construction proceeds via Brown representability…