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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeMay 28th 2010

• an uncommented link to Liouville cocycle

• a paragraph with the basic idea of fermioninc anomalies

• the missing reference to Witten’s old article on spin structures and fermioninc anomalies.

The entry is still way, way, stubby. But now a little bit less than a minute ago ;-

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeMar 4th 2011

added the story of gauge anomalies via first BV-BRST cohomology to quantum anomaly

• CommentRowNumber3.
• CommentAuthorDavid_Corfield
• CommentTimeApr 19th 2019

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 21st 2020

added pointers to electronic repositories (doi:, euclid:, jstor:) for all of the following items:

• CommentRowNumber5.
• CommentAuthorUrs
• CommentTimeJan 21st 2020
• (edited Jan 21st 2020)

and references on anomaly inflow:

1. The Berenzin integral is an integral over fermion fields.

Andrea Russo

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeFeb 23rd 2021
• (edited Feb 23rd 2021)

Yes, that’s why after having performed the Berezin integral, what remains is a function of the bosonic fields (since the fermions have been integrated out!), or rather is, globally, a section of a line bundle over the bosonic field values, whose non-triviality is the anomaly.

So as stated it was correct and to the point.

Hence I have rolled back your edit.

(I can, of course, see that there is plenty of room to expand on what the entry says at this point, be more pedagogical, add examples and details on actual formulas. Maybe later.)