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2012 Geometric interpretation of simplicial formulas for the Chern–Simons invariant
Julien Marché
Algebr. Geom. Topol. 12(2): 805-827 (2012). 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,) 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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Julien Marché. "Geometric interpretation of simplicial formulas for the Chern–Simons invariant." Algebr. Geom. Topol. 12 (2) 805 - 827, 2012. https://doi.org/10.2140/agt.2012.12.805

Information

Received: 24 January 2011; Revised: 27 January 2012; Accepted: 18 October 2011; Published: 2012
First available in Project Euclid: 19 December 2017

zbMATH: 1251.57015
MathSciNet: MR2914619
Digital Object Identifier: 10.2140/agt.2012.12.805

Subjects:
Primary: 57M27, 58J28

Rights: Copyright © 2012 Mathematical Sciences Publishers

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