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Dec 16, 2019 at 11:18 vote accept Jens Reinhold
Nov 19, 2019 at 15:40 comment added Phil Tosteson I think that the configuration spaces in the plane are toral. The homology classes admit a combinatorial description in terms of collections of points orbiting each other, given as the fundamental class of a torus. See for instance Sinha's paper arxiv.org/abs/math/0610236
Nov 19, 2019 at 12:19 history answered Neil Strickland CC BY-SA 4.0