  We consider the hypothesis that the C-field 4-flux and 7-flux forms in
M-theory are in the image of the non-abelian Chern character map from the
non-abelian generalized cohomology theory called J-twisted Cohomotopy theory.
We prove for M2-brane backgrounds in M-theory on 8-manifolds that such charge
quantization of the C-field in Cohomotopy theory implies a list of expected
anomaly cancellation conditions, including: shifted C-field flux quantization
and C-field tadpole cancellation, but also the DMW anomaly cancellation and the
C-field's integral equation of motion.
