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Cohomotopy and flux quantization in $M$-theory (2505.24696v1)
Published 30 May 2025 in math.AT and hep-th
Abstract: We identify some of the $k$-invariants for the Postnikov tower of the stable and unstable 4-sphere. Assuming the stable Hypothesis H of Fiorenza--Sati--Scheiber, we use the resulting obstruction theory to prove that the Chern--Simons term in the effective action of M-theory is well defined. In particular, we do not assume the presence of an $E_8$-gauge field.
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