0000000000289598
AUTHOR
B. Perron
Homeomorphic graph manifolds: A contribution to the μ constant problem
Abstract We give a characterization, in terms of homological data in covering spaces, of those maps between (3-dimensional) graph manifolds which are homotopic to homeomorphisms. As an application we give a condition on a cobordism between graph manifolds that guarantees that they are homeomorphic. This in turn is applied to give a partial result on the μ -constant problem in (complex) dimension three.
Groupe de monodromie g�om�trique des singularit�s simples
Cette Note tente de repondre a une question de Sullivan: le groupe fondamental du complementaire du discriminant d'un deploiement universel d'une singularite isolee en deux variables complexes s'injecte-t-il dans le groupe de diffeomorphismes de la fibre modulo son bord, par l'application de monodromie? La reponse est affirmative pour les singularites simples A n et D n
REPRESENTATIVE BRAIDS FOR LINKS ASSOCIATED TO PLANE IMMERSED CURVES
In [ AC 2], A'Campo associates a link in S3 to any proper generic immersion of a disjoint union of arcs into a 2-disc. We give a sample algorithmic way to produce, from the immersion, a representative braid for such links. As a by-product we get a minimal representative braid for any algebraic link, from a divide associated to a real deformation of the polynomial defining the link.