Nonorientable, incompressible surfaces in punctured-torus bundles over S1

Józef Henryk Przytycki

Abstract

We classify incompressible, ∂-incompressible, nonorientable surfaces in punctured-torus bundles over S1. We use the ideas of Floyd, Hatcher, and Thurston. The main tool is to put our surface in the “Morse position” with respect to the projection of the bundle into the basis S1.
Author Józef Henryk Przytycki (FMPI / IM)
Józef Henryk Przytycki,,
- Institute of Mathematics
Journal seriesRevista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, ISSN 1578-7303, (A 20 pkt)
Issue year2019
Vol113
No3
Pages1975-2000
Publication size in sheets1.25
ASJC Classification2604 Applied Mathematics; 2605 Computational Mathematics; 2608 Geometry and Topology; 2602 Algebra and Number Theory; 2603 Analysis
DOIDOI:10.1007/s13398-018-0592-y
URL https://link.springer.com/content/pdf/10.1007%2Fs13398-018-0592-y.pdf
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 20.0, 24-07-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.743; WoS Impact Factor: 2017 = 1.074 (2) - 2017=0.987 (5)
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