Manifoldic homology and Chern-Simons formalism

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.

8 pages; a paragraph in the introduction is added

References in corpus (2)

• Integral Invariants of 3-Manifolds. II
• Derived Algebraic Geometry VI: E_k Algebras

Cited by in corpus (2)

• Weyl n-algebras
• Factorization Homology of Polynomial Algebras