On the Quillen determinant
微分几何
2009-11-10 v1 泛函分析
摘要
We explain the bundle structures of the {\it Determinant line bundle} and the {\it Quillen determinant line bundle} considered on the connected component of the space of Fredholm operators including the identity operator in an intrinsic way. Then we show that these two are isomorphic and that they are non-trivial line bundles and trivial on some subspaces. Also we remark a relation of the {\it Quillen determinant line bundle} and the {\it Maslov line bundle}.
引用
@article{arxiv.math/0309127,
title = {On the Quillen determinant},
author = {Kenro Furutani},
journal= {arXiv preprint arXiv:math/0309127},
year = {2009}
}
备注
11 pages, to appear in the Journal of Geometry and Physics