• Corpus ID: 245650648

Point-pushing actions for manifolds with boundary

@inproceedings{Palmer2020PointpushingAF,
  title={Point-pushing actions for manifolds with boundary},
  author={Martin Palmer and Ulrike Tillmann},
  year={2020}
}
Given a manifold M and a point in its interior, the point-pushing map describes a diffeomorphism that pushes the point along a closed path. This defines a homomorphism from the fundamental group of M to the group of isotopy classes of diffeomorphisms of M that fix the basepoint. This map is well-studied in dimension d = 2 and is part of the Birman exact sequence. Here we study, for any d > 3 and k > 1, the map from the k-th braid group of M to the group of homotopy classes of homotopy… 
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