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arXiv · 1711.04565

Hopf invariants and differential forms

Felix Wierstra
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Abstract

Let $f,g:M \rightarrow N$ be two maps between simply-connected smooth manifolds $M$ and $N$, such that $M$ is compact and $N$ is of finite $\mathbb{R}$-type. The goal of this paper is to use integration of certain differential forms to obtain a complete invariant of the real homotopy classes of the maps $f$ and $g$.

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Felix Wierstra. 2017-11-13. Hopf invariants and differential forms. https://arxiv.org/abs/1711.04565

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