Poincaré duality and periodicity

Klein, John R¹ ; Richter, William²

¹Department of Mathematics, Wayne State University, Detroit MI 48202, USA
²Department of Mathematics, Northwestern University, Evanston IL 60208, USA

Algebraic and Geometric Topology, Tome 11 (2011) no. 4, pp. 1961-1985

Résumé

We construct periodic families of Poincaré complexes, partially solving a question of Hodgson, and infinite families of Poincaré complexes whose top cell falls off after one suspension but which fail to embed in a sphere of codimension one. We give a homotopy theoretic description of the four-fold periodicity in knot cobordism.

Détail

DOI : 10.2140/agt.2011.11.1961

Keywords: Poincaré complex, Hopf invariant, knot periodicity

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