Algebraic & Geometric Topology 12 (2012) 805–827

DOI: 10.2140/agt.2012.12.805

Abstract

We give a direct interpretation of Neumann’s combinatorial formula for the Chern–Simons invariant of a 3–manifold with a representation in PSL(2, C) whose restriction to the boundary takes values in upper triangular matrices. Our construction does not involve group homology or Bloch group but is based on the construction of an explicit flat connection for each tetrahedron of a simplicial decomposition of the manifold.

Keywords

Chern–Simons, triangulation, simplicial formula

Mathematical Subject Classification

Primary: 57M27, 58J28

References

Publication

Received: 24 January 2011
Revised: 27 January 2012
Accepted: 18 October 2011
Published: 17 April 2012

Authors