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Configuration spaces and braid groups of graphsGeometry/Topology
|Speaker:||Aaron Abrams, U.C.Berkeley|
|Start time:||Wed, Jun 14 2000, 4:10PM|
The classical $n$-string braid group can be described as the fundamental group of a certain topological space, namely the configuration space of $n$ points in the plane. From this point of view we develop a theory of braid groups of graphs, based on studying the configuration spaces of points in a graph. A variety of topological, geometric, algebraic, and combinatorial properties will be investigated, and examples will be emphasized.