Betti number bounds for fewnomial hypersurfaces via stratified Morse theory


Frank Sottile
Abstract

    We use stratified Morse theory for a manifold with corners to give a new bound for the sum of the Betti numbers of a hypersurface in Rn> defined by a polynomial with n+l+1 terms.

    The figure at right illustrates a Morse function on the Cannoli shell.

Betti number bounds for fewnomial hypersurfaces via stratified Morse theory, with Frédéric Bihan, 7 pages. arXiv:0801.2554.