Belts and k-invariants of link maps in spheres.

Ulrich Koschorke

Displaying similar documents to “Belts and k-invariants of link maps in spheres.”

Link maps and the geometry of their invariants.

Ulrich Koschorke (1988)

Manuscripta mathematica

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Homotopy Linear Involutions on Spheres in the Unstable Range.

Peter Löffler (1986)

Manuscripta mathematica

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Linking and coincidence invariants

Ulrich Koschorke (2004)

Fundamenta Mathematicae

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Given a link map f into a manifold of the form Q = N × ℝ, when can it be deformed to an “unlinked” position (in some sense, e.g. where its components map to disjoint ℝ-levels)? Using the language of normal bordism theory as well as the path space approach of Hatcher and Quinn we define obstructions $ω ̃_{ε} (f)$ , ε = + or ε = -, which often answer this question completely and which, in addition, turn out to distinguish a great number of different link homotopy classes. In certain cases they even...

Fibring the complement of the Fenn-Rolfsen link.

Roger Fenn (1989)

Publicacions Matemàtiques

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In this note it is shown that the complement of the singular linked spheres in four dimensions defined by Fenn and Rolfsen can be fibred by tori. Also a symmetry between the two components is revealed which shows that the image provides an example of a Spanier-Whitehead duality. This provides an immediate proof that the α-invariant is non zero.