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math.AT2004★ 8 cited
Thom Prospectra for Loopgroup representations
Nitu Kitchloo, Jack Morava
We construct an S^1-equivariant prospectrum that models the Atiyah dual of a free loop space of a manifold. By applying a suitably completed S^1-equivariant K-theory to the Atiyah…
math.AT2002
Quasi finite loop spaces are manifolds
N. Kitchloo, D. Notbohm
It is an old conjecture, that finite -spaces are homotopy equivalent to manifolds. Here we prove that this conjecture is true for loop spaces. Actually, we show that every quasi…
math.AT2000
On Complexes Equivalent to -bundles over
Nitu Kitchloo, Krishnan Shankar
There has been renewed interest in -bundles over since K. Grove and W. Ziller constructed metrics on nonnegative curvature on the total spaces of these…