On boundary slopes of immersed incompressible surfaces

Mark D. Baker

Annales de l'institut Fourier (1996)

  • Volume: 46, Issue: 5, page 1443-1449
  • ISSN: 0373-0956

Abstract

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Let M be a compact, orientable, irreducible 3-manifold with M a torus. We show that there can be infinitely many slopes on M realized by the boundary curves of immersed, incompressible, - incompressible surfaces in M which are embedded in a neighborhood of M .

How to cite

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Baker, Mark D.. "On boundary slopes of immersed incompressible surfaces." Annales de l'institut Fourier 46.5 (1996): 1443-1449. <http://eudml.org/doc/75219>.

@article{Baker1996,
abstract = {Let $M$ be a compact, orientable, irreducible 3-manifold with $\partial M$ a torus. We show that there can be infinitely many slopes on $\partial M$ realized by the boundary curves of immersed, incompressible, $\partial $- incompressible surfaces in $M$ which are embedded in a neighborhood of $M$.},
author = {Baker, Mark D.},
journal = {Annales de l'institut Fourier},
keywords = {3-manifold; boundary curves; surfaces},
language = {eng},
number = {5},
pages = {1443-1449},
publisher = {Association des Annales de l'Institut Fourier},
title = {On boundary slopes of immersed incompressible surfaces},
url = {http://eudml.org/doc/75219},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Baker, Mark D.
TI - On boundary slopes of immersed incompressible surfaces
JO - Annales de l'institut Fourier
PY - 1996
PB - Association des Annales de l'Institut Fourier
VL - 46
IS - 5
SP - 1443
EP - 1449
AB - Let $M$ be a compact, orientable, irreducible 3-manifold with $\partial M$ a torus. We show that there can be infinitely many slopes on $\partial M$ realized by the boundary curves of immersed, incompressible, $\partial $- incompressible surfaces in $M$ which are embedded in a neighborhood of $M$.
LA - eng
KW - 3-manifold; boundary curves; surfaces
UR - http://eudml.org/doc/75219
ER -

References

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  1. [H] A. HATCHER, On the boundary curves of incompressible surfaces, Pacific J. Math., 99 (1982), 373-377. Zbl0502.57005MR83h:57016

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