Twistorial cohomotopy implies Green-Schwarz anomaly cancellation

Domenico Fiorenza, Hisham Sati, Urs Schreiber

Research output: Contribution to journalArticlepeer-review


We characterize the integral cohomology and the rational homotopy type of the maximal Borel-equivariantization of the combined Hopf/twistor fibration, and find that subtle relations satisfied by the cohomology generators are just those that govern Hořava-Witten's proposal for the extension of the Green-Schwarz mechanism from heterotic string theory to heterotic M-theory. We discuss how this squares with the Hypothesis H that the elusive mathematical foundation of M-theory is based on charge quantization in tangentially twisted unstable Cohomotopy theory.

Original languageEnglish (US)
Article number2250013
JournalReviews in Mathematical Physics
Issue number5
StatePublished - Jun 1 2022


  • M-theory
  • generalized cohomology
  • rational homotopy theory
  • twistor fibration

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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