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4 papers
A Diagrammatic method for an invariant related to the Chern-Simons perturbation theory
Tatsuro Shimizu
The defect is an invariant of a compact oriented 3-manifold with a representation of the fundamental group. In this article we give a diagrammatic method for o…
Gluing formula for an invariant related to the Chern-Simons perturbation theory
Teruaki Kitano, Tatsuro Shimizu
The Chern-Simons perturbation theory gives an invariant for a pair of a closed oriented 3-manifold and a representation of the fundamental group. We generalize $d(…
A note on the -invariant of 3-manifolds
Alberto S. Cattaneo, Tatsuro Shimizu
In this note, we revisit the -invariant as defined by R. Bott and the first author. The -invariant is an invariant of rational homology 3-spheres with acyclic orthogonal loca…
An invariant of rational homology 3-spheres via vector fields
Tatsuro Shimizu
We define an invariant of rational homology 3-spheres via vector fields. The construction of our invariant is a generalization of both that of the Kontsevich-Kuperberg-Thurston inv…