Manifoldic homology and Chern-Simons formalism

Details Manifoldic homology and Chern-Simons formalism Manifoldic homology and Chern-Simons formalism

2011-06-27

arxiv.org/abs/1106.5352v1

Mathematics

Quantum Algebra

5 pages

Scientific paper

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.

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