Australian Digital Theses Program

Thesis Details
Title	A Topological Approach To Spectral Flow
Author	Tanaka, Yohei
Institution	Flinders University
Date	2014
Abstract	It is a well-known result of T. Kato that given a continuous path of square matrices of a fixed dimension, the eigenvalues of the path can be chosen continuously. In this paper, we give an infinite-dimensional analogue of this result, which naturally arises in the context of unitary spectral flow. This provides a new approach to spectral flow, which seems to be missing from the literature. It is the purpose of this paper to fill in this gap.
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