Betti number bounds for fewnomial hypersurfaces via stratified Morse theory | |
Frank Sottile
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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. |