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Abstract
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We give a direct interpretation of Neumann’s combinatorial formula for
the Chern–Simons invariant of a 3–manifold with a representation in
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.
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Keywords
Chern–Simons, triangulation, simplicial formula
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Mathematical Subject Classification 2010
Primary: 57M27, 58J28
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Publication
Received: 24 January 2011
Revised: 27 January 2012
Accepted: 18 October 2011
Published: 17 April 2012
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