TY - JOUR
T1 - Dyer-Lashof operations in the string topology of spheres and projective spaces
AU - Westerland, Craig
PY - 2005/7/1
Y1 - 2005/7/1
N2 - 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.
AB - 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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U2 - 10.1007/s00209-005-0778-9
DO - 10.1007/s00209-005-0778-9
M3 - Article
AN - SCOPUS:21344471191
SN - 0025-5874
VL - 250
SP - 711
EP - 727
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3
ER -