Arrangements from Finite Root Systems

@inproceedings{Khovanov2004ArrangementsFF,
  title={Arrangements from Finite Root Systems},
  author={Mikhail Khovanov},
  year={2004}
}
Take a complex n-dimensional space C and delete all diagonals zi = zj . It is well-known that what remains is a K(π, 1) space with the fundamental group isomorphic to the pure braid group ([FN]). This paper originated from an idea for finding a real counterpart of this construction. Starting from a real n-dimensional space R remove either all real codimension two subspaces xi = xj = xk or all real codimension two subspaces xi = xj , xk = xp for distinct integers i, j, k, p. Denote the… CONTINUE READING
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