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Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
14 декабря 2017 г. 14:30, г. Москва, НМУ (Большой Власьевский переулок, д. 11), к. 401


Higher spin Riemann and Klein surfaces

S. Natanzon

HSE, Russia

Аннотация: Klein surfaces are generalization of Riemann surfaces to cases of non-orientable surfaces or surfaces with boundary. They are equivalent to real algebraic curves. An m-spin structure on Riemann or Klein surface is a complex line bundle $l$ such that $l^{\otimes m}$ is the cotangent bundle. We nd all m-spin structures on surfaces of Riemann and Klein, we describe they topological invariants and moduli spaces. The proofs are based on the theory of Fuchsian groups. The talk is based on joint works with Anna Pratoussevitch.

Язык доклада: английский


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