Spectral Geometry of Fuzzy Spaces

In this thesis, a number of tools are developed to better understand fuzzy spaces and finite noncommutative geometries in general. These tools depend only on the spectrum of the Dirac operator. Dimensional measures based on Weyl's law and heat kernel asymptotics are defined. A new dimensional m...

Full description

Bibliographic Details
Main Author: Druce, Paul Joseph
Format: Thesis (University of Nottingham only)
Language:English
Published: 2020
Subjects:
Online Access:https://eprints.nottingham.ac.uk/59939/