Abstract
This chapter provides an overview on the topology of nonisolated singularities. It is well-known that isolated singularities of complex analytic or algebraic varieties possess interesting topological properties. The chapter presents the computation of the connectivity and homology of the Milnor fiber for a large class of examples, and these computations can be related to global properties, that is, homology, of singular protective varieties. It also presents the basic results of Kato and Matsumoto and presents the derivation of some straightforward consequences of standard exact sequences. The chapter presents a theorem that states that if n≥ 3. There is a one-to-one correspondence of smooth isotopy classes of simple fibered knots in S2n+1 and equivalence classes of unimodular bilinear forms. The correspondence associates to each knot its Seifert form.
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