Moduli Spaces of Higher Spin Klein Surfaces

Natanzon, S and Pratoussevitch, A (2000) Moduli Spaces of Higher Spin Klein Surfaces. Annals of Global Analysis and Geometry. (Submitted)

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Abstract

We study the connected components of the space of higher spin bundles on hyperbolic Klein surfaces. A Klein surface is a generalisation of a Riemann surface to the case of non-orientable surfaces or surfaces with boundary. The category of Klein surfaces is isomorphic to the category of real algebraic curves. An m-spin bundle on a Klein surface is a complex line bundle whose m-th tensor power is the cotangent bundle. The spaces of higher spin bundles on Klein surfaces are important because of their applications in singularity theory and real algebraic geometry, in particular for the study of real forms of Gorenstein quasi-homogeneous surface singularities. In this paper we describe all connected components of the space of higher spin bundles on hyperbolic Klein surfaces in terms of their topological invariants and prove that any connected component is homeomorphic to a quotient of an Euclidean space by a discrete group.

Item Type:	Article
Additional Information:	Date: 2016-02 (submitted)
Depositing User:	Symplectic Admin
Date Deposited:	08 Feb 2016 08:54
Last Modified:	06 Mar 2017 08:17
URI:	http://livrepository.liverpool.ac.uk/id/eprint/2050319

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• Moduli Spaces of Higher Spin Klein Surfaces. (deposited 08 Feb 2016 08:54) [Currently Displayed]
  • MODULI SPACES OF HIGHER SPIN KLEIN SURFACES. (deposited 06 Mar 2017 08:17)

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