The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification

  • Aleksey Zinger

Abstract

We provide a thorough construction of a system of compatible determinant line bundles over spaces of Fredholm operators, fully verify that this system satisfies a number of important properties, and include explicit formulas for all relevant isomorphisms between these line bundles. We also completely describe all possible systems of compatible determinant line bundles and compare the conventions and approaches used elsewhere in the literature.
Published
2016-06-09
How to Cite
Zinger, A. (2016). The Determinant Line Bundle for Fredholm Operators: Construction, Properties, and Classification. MATHEMATICA SCANDINAVICA, 118(2), 203-268. https://doi.org/10.7146/math.scand.a-23687
Section
Articles