Homotopy transfer for L-infinity structures and the BV-formalism

2024/08/22 by James Maunder, Maunder, James · 1 citation
Mathematics · Biochemistry, Genetics and Molecular Biology · #Homotopy and Cohomology in Algebraic Topology #Glycosylation and Glycoproteins Research #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2408.12461

Abstract

Explicit constructions for the minimal models of general and unimodular L-infinity algebra structures are given using the BV-formalism of mathematical physics and the perturbative expansions of integrals. In particular, the general formulas for the minimal model of an L-infinity algebra structure are an instance of the Homotopy Transfer Theorem and we recover the known formulas of the structure in terms of sums over rooted trees discussing their relation to Feynman diagrams.

Cited by

• The LMO Spectrum: Factorization Homology and the E₃-Structure of the Jacobi Diagram Algebra

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