Invariant Spin Structures on Riemann Surfaces

Details Invariant Spin Structures on Riemann Surfaces Invariant Spin Structures on Riemann Surfaces

2006-10-18

arxiv.org/abs/math/0610568v3

Mathematics

Geometric Topology

14 pages, 3 figures

Scientific paper

We investigate the action of the automorphism group of a closed Riemann
surface on its set of theta characteristics (or spin structures). We give
criteria for when an automorphism fixes all spin structures, or when it fixes
just one. The case of hyperelliptic curves and of the Klein quartic are
discussed in detail.

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