Higher spin klein surfaces


Natanzon, S and Pratoussevitch, A (2016) Higher spin klein surfaces. Moscow Mathematical Journal, 16 (1). 95 - 124. ISSN 1609-3321

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Abstract

© 2016 Independent University of Moscow. A Klein surface is a generalisation of a Riemann surfaceto the case of non-orientable surfaces or surfaces with boundary. Thecategory of Klein surfaces is isomorphic to the category of real algebraiccurves. An m-spin structure on a Klein surface is a complex line bundlewhose m-th tensor power is the cotangent bundle. We describe all mspinstructures on Klein surfaces of genus greater than one and determinethe conditions for their existence. In particular we compute the numberof m-spin structures on a Klein surface in terms of its natural topologicalinvariants.

Item Type: Article
Depositing User: Symplectic Admin
Date Deposited: 08 Feb 2016 08:53
Last Modified: 21 Apr 2016 15:17
URI: http://livrepository.liverpool.ac.uk/id/eprint/2050320

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