Cyclic branched coverings of 2-bridge knots.

Alberto Cavicchioli; Beatrice Ruini; Fulvia Spaggiari

Revista Matemática Complutense (1999)

  • Volume: 12, Issue: 2, page 383-416
  • ISSN: 1139-1138

Abstract

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In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.

How to cite

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Cavicchioli, Alberto, Ruini, Beatrice, and Spaggiari, Fulvia. "Cyclic branched coverings of 2-bridge knots.." Revista Matemática Complutense 12.2 (1999): 383-416. <http://eudml.org/doc/44400>.

@article{Cavicchioli1999,
abstract = {In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.},
author = {Cavicchioli, Alberto, Ruini, Beatrice, Spaggiari, Fulvia},
journal = {Revista Matemática Complutense},
keywords = {Recubrimientos topológicos; Grupos cíclicos; Nudos topológicos; Geometría; cyclic branched covering; 2-bridge knot; cyclic presentation},
language = {eng},
number = {2},
pages = {383-416},
title = {Cyclic branched coverings of 2-bridge knots.},
url = {http://eudml.org/doc/44400},
volume = {12},
year = {1999},
}

TY - JOUR
AU - Cavicchioli, Alberto
AU - Ruini, Beatrice
AU - Spaggiari, Fulvia
TI - Cyclic branched coverings of 2-bridge knots.
JO - Revista Matemática Complutense
PY - 1999
VL - 12
IS - 2
SP - 383
EP - 416
AB - In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.
LA - eng
KW - Recubrimientos topológicos; Grupos cíclicos; Nudos topológicos; Geometría; cyclic branched covering; 2-bridge knot; cyclic presentation
UR - http://eudml.org/doc/44400
ER -

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