The tangent bundle of an almost-complex free loopspace

Details The tangent bundle of an almost-complex free loopspace The tangent bundle of an almost-complex free loopspace

2001-09-13

arxiv.org/abs/math/0109085v2

Mathematics

Differential Geometry

This paper appears in the Proceedings of the Stanford Workshop on equivariant homotopy theory, published in Homology, Homotopy

Scientific paper

The main construction of this paper contains a serious error, and I am withdrawing it. I owe Andrew Stacey and Ralph Cohen thanks for seeing the problem; in particular, Stacey has shown that the projections constructed in \S 3.1 will fail in general to have constant rank, so the family ${\bf T}V$ of vector spaces defined by their images fails to be a vector bundle. I'm very sorry to have caused this confusion. To researchers interested in these questions, I recommend the papers of Cohen, Godin, and Stacey cited below: R. Cohen, V. Godin, A polarized view of string topology, available at {\tt math.AT/0303003} R. Cohen, A. Stacey, Fourier decomposition of loop bundles, available at {\tt math.AT/0210351}

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