Representing knots by filling Dehn spheres

Lozano-Rojo, A. ; Vigara, R.

Resumen: We prove that any knot or link in any 3-manifold can be nicely decomposed (split) by a filling Dehn sphere. This has interesting consequences in the study of branched coverings over knots and links. We give an algorithm for computing Johansson diagrams of filling Dehn surfaces out from coverings of 3-manifolds branched over knots or links.

Idioma: Inglés

DOI: 10.1142/S0218216516500188

Año: 2016

Publicado en: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS 25, 4 (2016), 16500188 [11 pp.]
ISSN: 0218-2165

Factor impacto JCR: 0.363 (2016)

Categ. JCR: MATHEMATICS rank: 273 / 310 = 0.881 (2016) - Q4 - T3

Factor impacto SCIMAGO: 0.539 - Algebra and Number Theory (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E15
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2013-45710-C2
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2013-46337-C2

Tipo y forma: Article (PostPrint)