Maximal Poincaré polynomials and minimal Morse functions
Maximal Poincaré polynomials and minimal Morse functions
In this paper we introduce the maximum Poincaré polynomial $P^{\ast } (M)$ of a compact manifold $M$, and prove its uniqueness. We show that its coefficients are topological invariants of the manifolds which, in some cases, correspond to known ones. We also investigate its realizability via a Morse function on …