The kernel of the edth operators on higher-genus spacelike two-surfaces
J. Frauendiener, L. B. Szabados
TL;DR
This paper calculates the dimension of the kernels of edth operators on higher-genus spacelike 2-surfaces and discusses its mathematical and physical implications.
Contribution
It provides the first explicit calculation of the kernel dimensions for edth operators on higher-genus surfaces, extending previous results.
Findings
Kernel dimension depends on surface genus
Mathematical implications for spinor fields
Physical implications for spacetime geometry
Abstract
The dimension of the kernels of the edth and edth-prime operators on closed, orientable spacelike 2-surfaces with arbitrary genus is calculated, and some of its mathematical and physical consequences are discussed.
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