Gauss-Bonnet for matrix conformally rescaled Dirac
Quantum Algebra
2018-06-20 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Operator Algebras
Abstract
We derive an explicit formula for the scalar curvature over a two-torus with a Dirac operator conformally rescaled by a globally diagonalizable matrix. We show that the Gauss-Bonnet theorem holds and extend the result to all Riemann surfaces with Dirac operators modified in the same way.
Cite
@article{arxiv.1707.04438,
title = {Gauss-Bonnet for matrix conformally rescaled Dirac},
author = {Masoud Khalkhali and Andrzej Sitarz},
journal= {arXiv preprint arXiv:1707.04438},
year = {2018}
}
Comments
10 pages