Manifoldic homology and Chern-Simons formalism

2011/06/27 by Nikita Markarian, Markarian, Nikita
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1106.5352

openalex publication_date 2011/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this note is to define for any e_n-algebra A and a compact parallelizable n-manifold M without borders a morphism from the homology of homotopy Lie algebra A[n-1] to the topological chiral homology of M with coefficients in A. This map plays a crucial role in the perturbative Chern-Simons theory.

Citations

• Calabi-Yau algebras and superpotentials
• Koszul duality for operads

Related

• Nonabelian Poincare duality after stabilizing
• From manifolds to invariants of E_n-algebras
• Homological stability for topological chiral homology of completions
• E_n-cell attachments and a local-to-global principle for homological stability
• Knot Homology from Refined Chern-Simons Theory