An Asymmetric Noncommutative Torus
classification
🧮 math.QA
math-phmath.MP
keywords
diracfamilynoncommutativeasymmetriccomputeconnescoveredcurvature
pith:5A3WSKEE Add to your LaTeX paper
What is a Pith Number?\usepackage{pith}
\pithnumber{5A3WSKEE}
Prints a linked pith:5A3WSKEE badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more
read the original abstract
We introduce a family of spectral triples that describe the curved noncommutative two-torus. The relevant family of new Dirac operators is given by rescaling one of two terms in the flat Dirac operator. We compute the dressed scalar curvature and show that the Gauss-Bonnet theorem holds (which is not covered by the general result of Connes and Moscovici).
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.