For instance, it is a known result that:
$$\pi_3(SU(N))\simeq \mathbb{Z}, N\ge2 $$
How do i calculate the element of $\mathbb{Z}$ associated to, say, a smooth map $f:S³\rightarrow SU(N)?$ What are some general results or references on such formulas?
2026-03-26 09:17:49.1774516669
Calculating the homotopy class of a smooth map between manifolds
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