Examinando por Materia "Graded Geometry"

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    Homological aspects of Classical Field Theory in the Batalin-Vilkovisky formalism
    (Universidad EIA, 2025) Alzate Lugo, Tomas; López Arcos, Cristhiam Manuel
    ABSTRACT: In this monograph, we review the mathematical foundations of the Batalin-Vilkovisky formalism for treating gauge systems, in the context of homological algebra and graded differential geometry. This formalism leads to an L∞-algebra that encodes all the information of a classical field theory: gauge symmetries, field content, equations of motion, and Noether identities. As illustrative examples, we present the Yang–Mills and Chern–Simons theories