Abstract.
We compute the 2-primary Dyer-Lashof operations in the string topology of several families of manifolds, specifically spheres and a variety of projective spaces. These operations, while well known in the context of iterated loop spaces, give a collection of homotopy invariants of manifolds new to string topology. The computations presented here begin an exploration of these invariants.
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This material is based upon work supported by the National Science Foundation under agreement No. DMS-0111298.
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Westerland, C. Dyer-Lashof operations in the string topology of spheres and projective spaces. Math. Z. 250, 711–727 (2005). https://doi.org/10.1007/s00209-005-0778-9
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DOI: https://doi.org/10.1007/s00209-005-0778-9