Compactly supported cohomology of buildings
Michael Davis, Jan Dymara, Tadeusz Januszkiewicz, John Meier, Boris, Okun
TL;DR
This paper calculates the compactly supported cohomology for the standard realization of any locally finite building, providing insights into the topological properties of these geometric structures.
Contribution
It introduces a method to compute the compactly supported cohomology for all locally finite buildings, extending previous results to a broader class of structures.
Findings
Explicit cohomology computations for buildings
Generalization to all locally finite buildings
New insights into the topology of buildings
Abstract
We compute the compactly supported cohomology of the standard realization of any locally finite building.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research