Higher categories, colimits, and the blob complex

Understand

We summarize our axioms for higher categories, and describe the blob complex.

• Fixing an n-category C, the blob complex associates a chain complex B_*(W;C)$ to any n-manifold W.
• The 0-th homology of this chain complex recovers the usual topological quantum field theory invariants of W.
• The higher homology groups should be viewed as generalizations of Hochschild homology (indeed, when W=S^1 they coincide).