Algebraic knots associated with Milnor fibrations
Journal of Singularities, Tome 25 (2022), pp. 30-53
Voir la notice de l'article provenant de la source Journal of Singularities website
In this paper, after reviewing basic material on Milnor fibrations, we explain topological invariants of algebraic knots associated with isolated singularities of complex hypersurfaces. These invariants have their origins in knot theory and are very important for the classification of isolated singularities of complex hypersurfaces up to certain topological equivalence relations. These relations correspond to isotopy and cobordism of associated knots. We also discuss the existence of non-trivial examples of real Milnor fibrations and the fibered knot conjecture.
@article{10_5427_jsing_2022_25b,
author = {Raimundo Ara\'ujo dos Santos and Osamu Saeki, and Taciana O. Souza},
title = {Algebraic knots associated with {Milnor} fibrations},
journal = {Journal of Singularities},
pages = {30--53},
publisher = {mathdoc},
volume = {25},
year = {2022},
doi = {10.5427/jsing.2022.25b},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25b/}
}
TY - JOUR AU - Raimundo Araújo dos Santos AU - Osamu Saeki, AU - Taciana O. Souza TI - Algebraic knots associated with Milnor fibrations JO - Journal of Singularities PY - 2022 SP - 30 EP - 53 VL - 25 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25b/ DO - 10.5427/jsing.2022.25b ID - 10_5427_jsing_2022_25b ER -
%0 Journal Article %A Raimundo Araújo dos Santos %A Osamu Saeki, %A Taciana O. Souza %T Algebraic knots associated with Milnor fibrations %J Journal of Singularities %D 2022 %P 30-53 %V 25 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25b/ %R 10.5427/jsing.2022.25b %F 10_5427_jsing_2022_25b
Raimundo Araújo dos Santos; Osamu Saeki,; Taciana O. Souza. Algebraic knots associated with Milnor fibrations. Journal of Singularities, Tome 25 (2022), pp. 30-53. doi: 10.5427/jsing.2022.25b
Cité par Sources :