Infinite dimensional Grassmannians
代数拓扑
2009-11-04 v2 算子代数
摘要
We study the analytic and homotopy properties of some infinite dimensional Grassmannians, useful for developing a Morse theory for infinite dimensional manifolds. We study the space of Fredholm pairs of a Hilbert space, we determine its homotopy type, and we define a determinant bundle over it. We study the space of compact perturbations of a given closed linear subspace, and the related concept of essential Grassmannian.
引用
@article{arxiv.math/0307192,
title = {Infinite dimensional Grassmannians},
author = {Alberto Abbondandolo and Pietro Majer},
journal= {arXiv preprint arXiv:math/0307192},
year = {2009}
}
备注
35 pages. Final version. Part on determinant bundles expanded