# name
Orientation change on a fibered link component

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Marc Kegel i Ricardo García López

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[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.

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Treballs Finals de Grau (TFG) - Matemàtiques

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Orientation change on a fibered link component