nLab
topological chiral homology

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Higher algebra

Contents

Idea

Topological chiral homology is a generalization of Hochschild homology. Where Hochschild homology is given by (∞,1)-colimits of functors constant on an \infty-algebra over a diagram that is an ∞-groupoid, topological chiral homology is given by colimits of constant functors over (∞,1)-categories of open subsets of a manifold.

This generalizes the concept of chiral homology by Beilinson-Drinfeld.

Definition

For the moment see the section Topological chiral homology at the entry on Hochschild homology.

The notion of topological chiral homology should be closely related to that of

and be related to concepts in

Other related concepts

References

A quick definition and comments on its relation to FQFT are in section 4.1 of

Technical details are in section 3 of

which meanwhile has becomes part of section 5 of

Revised on July 6, 2013 00:35:58 by Urs Schreiber (89.204.130.15)