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On the connectedness of the branch loci of non-orientable unbordered klein surfaces of low genus

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https//doi.org/10.1017/S0017089514000275

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2015

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Cambridge univ press
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https://hdl.handle.net/20.500.14352/33780

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Bujalance García, E., Etayo Gordejuela, J. J., Martínez García, E. & Szepietowski, B. «ON THE CONNECTEDNESS OF THE BRANCH LOCI OF NON-ORIENTABLE UNBORDERED KLEIN SURFACES OF LOW GENUS». Glasgow Mathematical Journal, vol. 57, n.o 1, enero de 2015, pp. 211-30. DOI.org (Crossref), https://doi.org/10.1017/S0017089514000275.

Abstract

This paper is devoted to determine the connectedness of the branch loci of the moduli space of non-orientable unbordered Klein surfaces. We obtain a result similar to Nielsen's in order to determine topological conjugacy of automorphisms of prime order on such surfaces. Using this result we prove that the branch locus is connected for surfaces of topological genus 4 and 5.

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Álgebra

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1201 Álgebra

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