Miguel A. Maldonado (Vol. 16 No. 1 2012)

Homotopy theory of non-orientable mapping class groups
Miguel A. Maldonado

We give a homotopical approach to the theory of mapping class groups of surfaces with marked points. Using configuration spaces we construct Eilenberg-MacLane spaces for the mapping class group of the projective plane and the Klein bottle. These spaces are closely related to the Eilenbergp-MacLane spaces for the corresponding baid groups. Some cohomological consequences of this approach are presented.

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