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ALGEBRAIC KNOTS ASSOCIATED WITH MILNOR FIBRATIONS

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Author(s):
Dos Santos, Raimundo Araujo ; Saeki, Osamu ; Souza, Taciana O.
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF SINGULARITIES; v. 25, p. 24-pg., 2022-01-01.
Abstract

In this paper, after reviewing basic material on Milnor fibrations, we explain topological invariants of algebraic knots associated with isolated singularities of complex hy-persurfaces. 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 equiv-alence 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. (AU)

FAPESP's process: 19/21181-0 - New frontiers in Singularity Theory
Grantee:Regilene Delazari dos Santos Oliveira
Support Opportunities: Research Projects - Thematic Grants