Functor calculus and the discriminant method
Algebraic Topology
2013-08-20 v3
Abstract
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.
Cite
@article{arxiv.1103.1483,
title = {Functor calculus and the discriminant method},
author = {Rui M. G. Reis and Michael S. Weiss},
journal= {arXiv preprint arXiv:1103.1483},
year = {2013}
}
Comments
Few changes in v3. Shorter title. Some promises removed