Orientation change on a fibered link component

Abstract

[en] This thesis is an attempt into collecting some known results of knot theory in order to attack the following question. Suppose that an $l$-component link $L$ is fibered with a specific orientation. If $L^{\prime}$ is the link resulting from reversing the orientation of one link component of $L$, is $L^{\prime}$ fibered? Asking this question, the thesis first presents some preliminaries on the topic and tries to familiarize the reader with fibrations and fiber surfaces. The question is answered for the family of torus links $T(2,2 n)$. It is attempted also the case $T(3,3 n)$ but without a similar result. It is also mentioned the need of a powerful homology theory which can solve the question for general oriented links.