Functor calculus and the discriminant method (Smooth maps to the plane and Pontryagin classes, Part III)

Details Functor calculus and the discriminant method (Smooth maps to the plane and Pontryagin classes, Part III) Functor calculus and the discriminant method (Smooth maps to the plane and Pontryagin classes, Part III)

2011-03-08

arxiv.org/abs/1103.1483v2

Mathematics

Algebraic Topology

41 pages

Scientific paper

The discriminant method is a tool for describing the cohomology, or the homotopy type, of certain spaces of smooth maps with uncomplicated singularities from a smooth compact manifold L to R^k. We recast some of it in the language of functor calculus. This reformulation allows us to use the discriminant method in a setting where we wish to impose conditions on the multilocal behavior of smooth maps f from L to R^k.

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