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Resources on BRST and BV quantisation for local quantum field theories

This is a reference request, to ideally a textbook, monograph, set of lecture notes or lecture videos, on the topics of BRST quantisation and the Lagrangian BV formalism. … Miscellaneous chapters in books like BBS's String Theory and M-Theory offer an introduction to the BRST formalism, but lack some mathematical generality I would enjoy, and the references to cohomology …
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Relation between cohomology and the BRST operator

Recommended resources on BRST quantization, and in particular from the lense of differential geometry are appreciated also. … But how do we establish what $Q$ is in the first place, and obtain $H^p$ in the BRST formalism? …
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