Open-book decompositions of S-5 and real singularities

Autor(es)

Aguilar-Cabrera, Haydee ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13566590 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF MATHEMATICS; v. 25, n. 9 AUG 2014.
• Citações Web of Science: 1

Resumo

In this article, we study the topology of the family of rca 1 analytic germs P : (C-3, 0) -> (C, 0) given by F(x, y, z) = (xy) over bar (x(P) + y(q)) + z(r) with p, q, r is an element of N, p, q, r >= 2 and (p, q) = 1. Such a germ has an isolated singularity at 0 and gives rise to a Milnor fibration F/vertical bar F vertical bar : S-5 \textbackslash{}L-F -> S-1. Moreover, it is known that the link L-F is a Seifert manifold and that it is always homeomorphic to the link of a complex singularity. However, we prove that in almost all the cases the open-book decomposition of given by the Milnor fibration of F cannot come from the Milnor fibration of a complex singularity in C-3. (AU)

• Processo FAPESP: 13/10176-9 - Topologia de singularidades reais
• Beneficiário: Haydée Aguilar Cabrera
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado