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On the connectedness of the Branch locus of the Schottky space
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-9557-9566
Universidad de la Frontera, Temuco, Chile.
2018 (English)In: Albanian Journal of Mathematics, ISSN 1930-1235, E-ISSN 1930-1235, Vol. 12, no 1, p. 131-136Article in journal (Refereed) Published
Abstract [en]

Schottky space Sg is the space that parametrizes PSL2(C)-conjugacy classes of Schottky groups of rank g ≥ 2. The branch locus Bg consists of the conjugacy classes of those Schottky groups which are a finite index proper subgroup of some Kleinian group. In a previous paper we observed that Bg was connected for g ≥ 3 odd and that it has at most two components for g ≥ 4 even. In this short note, we observe that Bg is always connected.

Place, publisher, year, edition, pages
White Lake, MI United States: Aulonna Press , 2018. Vol. 12, no 1, p. 131-136
National Category
Natural Sciences Geometry
Identifiers
URN: urn:nbn:se:liu:diva-160690OAI: oai:DiVA.org:liu-160690DiVA, id: diva2:1356666
Available from: 2019-10-02 Created: 2019-10-02 Last updated: 2019-10-08Bibliographically approved

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Izquierdo, Milagros

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