These study notes are based on a seminar talk by Myung Jin Jeong, with notes written by Hyeongmuk Lim (April 23, 2025).
The manuscript develops the geometric language used in the Batalin–Vilkovisky formalism and introduces its classical and quantum formulations.
Contents
- Introduction
- Calculus on manifolds, including Cartan calculus and integration of forms
- Mechanics of particles and fields, with motivations from path integrals and derived geometry
- Geometry of graded manifolds
- BV formalism: classical and quantum
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