On a Genus of a Closed Surface Containing a Brunnian Link
Makoto OZAWA
Source: Tokyo J. of Math. Volume 31, Number 2 (2008), 347-349.
Abstract
Let $L$ be an $n$-component Brunnian link and $F$ a genus $g$ closed surface containing $L$. Then, we show that $g>(n+3)/3$.
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1233844057
Digital Object Identifier: doi:10.3836/tjm/1233844057
Mathematical Reviews number (MathSciNet):
MR2477877
Zentralblatt MATH identifier:
05545417
References
H. Brunn, Über Verkettung, Sitzungsberichte der Bayerische Akad. Wiss., MathPhys. Klasse, 22 (1892), 77--99.
M. Ozawa, Morse position of knots and closed incompressible surfaces, J. Knot Theory and its Ramifications, 17 (2008), 377--397.
Mathematical Reviews (MathSciNet):
MR2414446
Zentralblatt MATH:
1148.57010
Digital Object Identifier: doi:10.1142/S021821650800618X
M. Scharlemann, Sutured manifolds and generalized Thurston norms, J. Diff. Geometry, 29 (1989), 557-614.
Mathematical Reviews (MathSciNet):
MR992331
Zentralblatt MATH:
0673.57015
Project Euclid: euclid.jdg/1214443063
2009 © Publication Committee for the Tokyo Journal of Mathematics
Tokyo Journal of Mathematics
