On Wagoner complexes

Details On Wagoner complexes On Wagoner complexes

2009-03-11

arxiv.org/abs/0903.1989v2

Mathematics

K-Theory and Homology

15 pages, substantially improved version, extended to 2-spherical groups of Kac-Moody type

Scientific paper

Wagoner complexes are simplicial complexes associated to groups of Kac-Moody type. They admit interesting homotopy groups which are related to integral group homology if the root datum is of 2-spherical type. We give a general definition of Wagoner complexes, exhibit some simple properties and calculate low dimensional homotopy groups. In addition, we give a definition of affine Wagoner complexes related to groups admitting a root datum with valuation.

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