Abstract
We calculate the dimension of the space of harmonic spinors on hyperelliptic Riemann surfaces for all spin structures. Furthermore, we present non-hype relliptic examples of genus 4 and 6 on which the maximal possible number of linearly independent harmonic spinors is achieved.
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The second author was supported by the Schweizerischer Nationalfonds zur Förderung wissenschaftlicher Forschung
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Bär, C., Schmutz, P. Harmonic spinors on Riemann surfaces. Ann Glob Anal Geom 10, 263–273 (1992). https://doi.org/10.1007/BF00136869
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DOI: https://doi.org/10.1007/BF00136869