Topological methods to compute Chern-Simons invariants

Author:

Auckly David R.

Abstract

In this paper we develop a method which may be used to compute the Chern-Simons invariants of a large class of representations on a large class of manifolds. This class includes all representations on all Seifert fiber spaces, all graph manifolds, and some hyperbolic manifolds. I owe many thanks to Peter Scott, John Harer, Frank Raymond, Ron Fintushel, Paul Kirk and Eric Klassen, without whose help and support this paper could not have been written.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. A calculus for framed links inS 3

2. [1] Auckly D. . Computing Secondary and Spectral invariants, Ph.D. Thesis, University of Michigan (1991).

3. Characteristic Forms and Geometric Invariants

4. Chern-Simons invariants of 3-manifolds and representation spaces of knot groups

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