Cobordism group of Morse functions on surfaces (Q1425467)

The authors consider the oriented cobordism group \(\mathcal M(2)\) of Morse functions on manifolds of dimension \(2\) and prove that the mapping \(\mathcal M(2)\to \mathbb{Z}\) that takes the cobordism class of a function \(f\) into the difference of the numbers of maxima and minima of \(f\) is a well-defined isomorphism of abelian groups.