Homotopy invariance for homology of linear groups: the case SL_4

Details Homotopy invariance for homology of linear groups: the case SL_4 Homotopy invariance for homology of linear groups: the case SL_4

2010-11-24

arxiv.org/abs/1011.5392v2

Mathematics

K-Theory and Homology

The paper has been withdrawn. Due to counterexamples in the case SL_3 I no longer believe the claims made in this paper are co

Scientific paper

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 homotopy invariance. We show that for a local factorial
ring R, this complex satisfies the CAT(0)-property for the induced length
metric from the Bruhat-Tits building.

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