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Free maps in critical dimension on low-dimensional tori and closed surfaces
We present a method to build free immersions in critical dimension on $m$-tori for $m = 2, 3, 4, 5$ by using a factorization trick inspired by tori immersions in critical dimension. As an application, we show that the set of smooth free maps from a closed surface $M$ to $\mathbb R^5$ is nonempty. In
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