Geodesic
Fibred closed braids with disc-band fibre surfaces
Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 433-451

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

A classical result by Stallings provides a necessary and sufficient condition to decide whether a given embedded surface $S$ is a fibre in $S^{3}-\partial S$. In this paper it is described how to find a candidate fibre surface for a a link presented as a closed braid. Also it is described an implemented algorithm to find the main ingredients of the necessary and sufficient condition of Stallings, namely presentations of the fundamental groups of the surface and of its complement in $S^{3}$, and an explicit expression of the homomorphism induced in homotopy by the push-off map. The paper ends with a discussion of the particular properties of the presentation of $\pi_1 (S^{3} \setminus S_{W})$. 
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     author = {Rampichini, Marta},
     title = {Fibred closed braids with disc-band fibre surfaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {433--451},
     publisher = {mathdoc},
     volume = {Ser. 8, 7B},
     number = {2},
     year = {2004},
     zbl = {1150.57004},
     mrnumber = {MR2072946},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a10/}
}
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Rampichini, Marta. Fibred closed braids with disc-band fibre surfaces. Bollettino della Unione matematica italiana, Série 8, 7B (2004) no. 2, pp. 433-451. http://geodesic.mathdoc.fr/item/BUMI_2004_8_7B_2_a10/