The Nielsen kernel of an arbitrary Riemann surface

Jones, Matthew ORCID logoORCID: (2006) The Nielsen kernel of an arbitrary Riemann surface. Bulletin of the London Mathematical Society, 38 (5) . pp. 825-828. ISSN 14692120 [Article] (doi:10.1112/S0024609306018753)


By considering coverings of surfaces by annuli, we extend previous results concerning the Nielsen kernel of topologically finite Riemann surfaces to arbitrary orbifolds. Specifically, we show that the length of a boundary loop in the Nielsen kernel is strictly greater than twice the length of the corresponding boundary loop of its orbifold, and that the infinite Nielsen kernel has empty interior. 2000 Mathematics Subject Classification 30F99 (primary), 30F60 (secondary).

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
ISI Impact: 0
Item ID: 635
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Depositing User: Repository team
Date Deposited: 03 Dec 2008 11:57
Last Modified: 13 Oct 2016 14:12

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