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Regular Systems on Riemann Surfaces

✍ Scribed by G. Giorgadze

Book ID
111554095
Publisher
Springer US
Year
2003
Tongue
English
Weight
516 KB
Volume
118
Category
Article
ISSN
1573-8795

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We calculate the dimension of the space of harmonic spinors on hyperelliptic Riemann surfaces for all spin structures. Furthermore, we present non-hyperelliptic examples of genus 4 and 6 on which the maximal possible number of linearly independent harmonic spinors is achieved.