The paper constructs groups G(Γ) for arbitrary hypergraphs and claims a monodromy homomorphism from stratified moduli spaces, including spherical braids.
Humphreys,Reflection Groups and Coxeter Groups, Cambridge University Press, 1990
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Generalizations of the groups $G_{n}^{k}$: graphs, moduli spaces, algebraic geometry, spherical braids
The paper constructs groups G(Γ) for arbitrary hypergraphs and claims a monodromy homomorphism from stratified moduli spaces, including spherical braids.