Geometric Generators for Braid-like Groups

Abstract

We study the problem of finding generators for the fundamental group G of a space of the following sort: one removes a family of complex hyperplanes from Cn, or complex hyperbolic space CHn, or the Hermitian symmetric space for O(2, n), and then takes the quotient by a discrete group PΓ. The classical example is the braid group, but there are many similar… (More)

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