Homotopy properties of spaces of smooth functions on 2-torus

Sergiy Maksymenko, Bogdan Feshchenko

Let $f:T^2\to \mathbb{R}$ be a Morse function on a 2-torus, $\mathcal{S}(f)$ and $\mathcal{O}(f)$ be its stabilizer and orbit with respect to the right action of the group $\mathcal…