Cohomotopy and flux quantization in $M$-theory

Daniel Grady

Cohomotopy and flux quantization in M-theory

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arxiv 2505.24696 v2 pith:JIH2WNPM submitted 2025-05-30 math.AT hep-th

Cohomotopy and flux quantization in M-theory

Daniel Grady This is my paper

classification math.AT hep-th

keywords stabletheoryactionassumeassumingchern--simonscohomotopydefined

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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--Schreiber, 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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