An invariant of rational homology 3–spheres via vector fields

Shimizu, Tatsuro

doi:10.2140/agt.2016.16.3073

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An invariant of rational homology $3$–spheres via vector fields

Tatsuro Shimizu

Algebraic & Geometric Topology 16 (2016) 3073–3101

DOI: 10.2140/agt.2016.16.3073

Abstract

We give an alternative construction of the Kontsevich–Kuperberg–Thurston invariant for rational homology $3$ –spheres. This construction is a generalization of the original construction of the Kontsevich–Kuperberg–Thurston invariant. As an application, we give a Morse homotopy theoretic description of the Kontsevich–Kuperberg–Thurston invariant (close to a description by Watanabe).

Keywords

homology 3–sphere, finite type invariant, Chern–Simons perturbation theory, Morse homotopy

Mathematical Subject Classification 2010

Primary: 57M27

References

Publication

Received: 5 November 2013

Revised: 19 March 2016

Accepted: 2 April 2016

Published: 15 December 2016

Authors

Tatsuro Shimizu
Research Institute for Mathematical Sciences Kyoto University The Mathematical Society of Japan Kitashirakawa-Oiwake cho Sakyo-ku Kyoto city 606-8502 Japan

Volume 16, issue 6 (2016)