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Lecture notes for the course "Batalin-Vilkovisky formalism and applicationsin topological quantum field theory" given at the University of Notre Dame inthe Fall 2016 for a mathematical audience. In these lectures we give a slowintroduction to the perturbative path integral for gauge theories inBatalin-Vilkovisky formalism and the associated mathematical concepts.

Lectures on Batalin-Vilkovisky formalism and its applications in topological quantum field theory