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Gauss-Bonnet for matrix conformally rescaled Dirac
Masoud Khalkhali, Andrzej Sitarz
arXiv: 1707.04438v1 (math.QA)
10 pages
License: NONEXCLUSIVE-DISTRIB 1.0
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.
Submitted to arXiv on 14 Jul. 2017