Homotopical intersection theory I

Klein, John R¹ ; Williams, E Bruce²

¹ Wayne State University, Detroit MI 48202, USA
² University of Notre Dame, Notre Dame IN 46556, USA

Geometry & topology, Tome 11 (2007) no. 2, pp. 939-977.

Résumé

We give a new approach to intersection theory. Our “cycles” are closed manifolds mapping into compact manifolds and our “intersections” are elements of a homotopy group of a certain Thom space. The results are then applied in various contexts, including fixed point, linking and disjunction problems. Our main theorems resemble those of Hatcher and Quinn but our proofs are fundamentally different.
Errata  Minor errors were corrected on page 967 (18 February 2008).

Détail

DOI : 10.2140/gt.2007.11.939

Keywords: intersection, Poincaré duality, bordism

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