An invariant of rational homology 3–spheres via vector fields

Shimizu, Tatsuro¹

¹Research Institute for Mathematical Sciences, Kyoto University, The Mathematical Society of Japan, Kitashirakawa-Oiwake cho, Sakyo-ku, Kyoto city 606-8502, Japan

Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3073-3101

Résumé

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).

Détail

DOI : 10.2140/agt.2016.16.3073

Classification : 57M27
Keywords: homology 3–sphere, finite type invariant, Chern–Simons perturbation theory, Morse homotopy

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