(2015)
Higher Spin Klein Surfaces.
Moscow Mathematical Journal.
(In Press)
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Abstract
We find all m-spin structures on Klein surfaces of genus larger than one. An m-spin structure on a Riemann surface P is a complex line bundle on P whose m-th tensor power is the cotangent bundle of P. A Klein surface can be described by a pair (P,tau), where P is a Riemann surface and tau is an anti-holomorphic involution on P. An m-spin structure on a Klein surface (P,tau) is an m-spin structure on the Riemann surface P which is preserved under the action of the anti-holomorphic involution tau. We determine the conditions for the existence and give a complete description of all real m-spin structures on a Klein surface. In particular we compute the number of m-spin structures on a Klein surface (P,tau) in terms of its natural topological invariants.
Item Type: | Article |
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Depositing User: | Symplectic Admin |
Date Deposited: | 23 Jul 2015 10:11 |
Last Modified: | 11 Apr 2016 08:50 |
URI: | http://livrepository.liverpool.ac.uk/id/eprint/2017104 |
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