Homotopy Lie algebras; lower central series and the Koszul property.
Torsion in Milnor fiber homology.
Inequivalent frame-spun knots with the same complement.
Immersed Spheres in ....2 and S2 x S2.
Hyperplane arrangements and Milnor fibrations
There are several topological spaces associated to a complex hyperplane arrangement: the complement and its boundary manifold, as well as the Milnor fiber and its own boundary. All these spaces are related in various ways, primarily by a set of interlocking fibrations. We use cohomology with coefficients in rank local systems on the complement of the arrangement to gain information on the homology of the other three spaces, and on the monodromy operators of the various fibrations.
Inequivalent fibred knots whose homotopy Seifert pairings are isometric.
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