## Tokyo Journal of Mathematics

### Boundary Theta Curves in $\mathbf S^3$

Jos\'e Eduardo Prado Pires de CAMPOS

#### Abstract

It is introduced a split extension of groups $1\rightarrow P_2\rightarrow C_{1,2}\rightarrow \Theta\rightarrow 1$, where $P_2$ is the group of pure braids in 2 strings, $C_{1,2}$ is the group of cobordism classes of (pure) 2-string links and $\Theta$ is the group of cobordism classes of theta curves. The concept of boundary theta curve is introduced and it is proved that the group of boundary cobordism classes of boundary theta curves is isomorphic to the group of boundary cobordism classes of boundary string links in 2 strings.

#### Article information

Source
Tokyo J. Math., Volume 28, Number 1 (2005), 283-288.

Dates
First available in Project Euclid: 5 June 2009

https://projecteuclid.org/euclid.tjm/1244208293

Digital Object Identifier
doi:10.3836/tjm/1244208293

Mathematical Reviews number (MathSciNet)
MR2149637

Zentralblatt MATH identifier
1083.57004

#### Citation

CAMPOS, Jos\'e Eduardo Prado Pires de. Boundary Theta Curves in $\mathbf S^3$. Tokyo J. Math. 28 (2005), no. 1, 283--288. doi:10.3836/tjm/1244208293. https://projecteuclid.org/euclid.tjm/1244208293

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