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arXiv · 1908.00394

Connectivity at Infinity for the Braid Group of a Complete Bipartite Graph

Kristen Mazur·Jon McCammond·John Meier·Ranjan Rohatgi
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Abstract

The graph braid group of a complete bipartite graph is the fundamental group of a configuration space of points on the graph, which is a CAT(0) cube complex. We combine an analysis of the topology of links of vertices in this complex, the description of a hidden symmetry among the parameters, and known results from the literature to explicitly compute the exact degree to which these complexes and groups are connected at infinity.

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Kristen Mazur, Jon McCammond, John Meier, Ranjan Rohatgi. 2019-08-01. Connectivity at Infinity for the Braid Group of a Complete Bipartite Graph. https://arxiv.org/abs/1908.00394

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