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Apr 28, 2020 at 6:20 comment added Severin Bunk Yes, you can interpret the QFT anomaly, or at least the chiral anomaly, as the Chern class in $H^2(\mathcal{A}/\mathcal{G};\mathbb{Z})$. There are more anomalies which have different descriptions, for instance they do not have to live on a space $\mathcal{A}/\mathcal{G}$ of gauge equivalence classes.
Apr 28, 2020 at 3:22 comment added annie marie cœur also do you know is this to say bordism group in Dai Freed theorem?
Apr 27, 2020 at 15:11 comment added annie marie cœur Thanks voted up, so in one sentence, how is the anomaly in QFT in physics = determinant line bundle? Or is that a class in $H^2(\mathcal{A}/\mathcal{G};\mathbb{Z})$?
Apr 27, 2020 at 7:30 comment added მამუკა ჯიბლაძე Journal versions for the first and third preprint are also available for free: "Anomalies in string theory with D-branes" by Freed and Witten (Asian J. Math. 1999) and "Relative Quantum Field Theory" by Freed and Teleman (CMP 2014)
Apr 27, 2020 at 6:44 history answered Severin Bunk CC BY-SA 4.0