The tangent bundle of an almost-complex free loopspace
| dc.creator | Morava, Jack | |
| dc.date | 2001-09-13 | |
| dc.date | 2003-04-06 | |
| dc.date.accessioned | 2026-07-07T04:43:21Z | |
| dc.date.available | 2026-07-07T04:43:21Z | |
| dc.description | 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 §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} | |
| dc.description | This paper appears in the Proceedings of the Stanford Workshop on equivariant homotopy theory, published in Homology, Homotopy, and Applications 3 (2001) 407-415 | |
| dc.identifier | https://arxiv.org/abs/math/0109085 | |
| dc.identifier | http://arxiv.org/abs/math/0109085 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62187 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 58Dxx, 53C29,55P91 | |
| dc.title | The tangent bundle of an almost-complex free loopspace | |
| dc.type | text |