Hyperkaehler structures and infinite-dimensional Grassmannians
| dc.creator | Tumpach, A. B. | |
| dc.date | 2005-11-17 | |
| dc.date | 2007-03-13 | |
| dc.date.accessioned | 2026-07-07T07:51:20Z | |
| dc.date.available | 2026-07-07T07:51:20Z | |
| dc.description | In this paper, we describe an example of a hyperkaehler quotient of a Banach manifold by a Banach Lie group. Although the initial manifold is not diffeomorphic to a Hilbert manifold (not even to a manifold modelled on a reflexive Banach space), the quotient space obtained is a Hilbert manifold, which can furthermore be identified either with the cotangent space of a connected component of the restricted Grassmannian or with a natural complexification of this connected component, thus proving that these two manifolds are isomorphic hyperkaehler manifolds. In addition, Kaehler potentials are computed using Kostant-Souriau's theory of prequantization. | |
| dc.description | The title was initially `Hyperkahler structures on the cotangent bundle of the restricted grassmannian and on a natural complexification of the restricted grassmannian'. This version includes minor changes | |
| dc.identifier | https://arxiv.org/abs/math-ph/0511056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0511056 | |
| dc.identifier | Journal of Functional Analysis 243 (2007) 158-206 | |
| dc.identifier | doi:10.1016/j.jfa.2006.05.019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125474 | |
| dc.subject | Mathematical Physics | |
| dc.title | Hyperkaehler structures and infinite-dimensional Grassmannians | |
| dc.type | text |