Bott Periodicity for Fibred Cusp Operators
| dc.creator | Rochon, Frederic | |
| dc.date | 2004-08-17 | |
| dc.date | 2006-03-04 | |
| dc.date.accessioned | 2026-07-07T06:38:44Z | |
| dc.date.available | 2026-07-07T06:38:44Z | |
| dc.description | In the framework of fibred cusp operators on a manifold $X$ associated to a boundary fibration $Φ: \pa X\to Y$, the homotopy groups of the space of invertible smoothing perturbations of the identity are computed in terms of the K-theory of $T^{*}Y$. It is shown that there is a periodicity, namely the odd and the even homotopy groups are isomorphic among themselves. To obtain this result, one of the important steps is the description of the index of a Fredholm smoothing perturbation of the identity in terms of an associated K-class in the K-theory of $T^{*}Y$. | |
| dc.description | 38 pages, corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/0408225 | |
| dc.identifier | http://arxiv.org/abs/math/0408225 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100841 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 58J40 | |
| dc.title | Bott Periodicity for Fibred Cusp Operators | |
| dc.type | text |