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arXiv · 0903.1989

On Wagoner complexes

Jan Essert
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Abstract

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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Jan Essert. 2010-05-04. On Wagoner complexes. https://arxiv.org/abs/0903.1989

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