An invariant of rational homology 3-spheres via vector fields

Abstract

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 invariant and that of Watanabe's Morse homotopy invariant, which implies the equivalence of these two invariants.

27 pages

References in corpus (2)

• A formula for the Theta invariant from Heegaard diagrams
• On homotopy invariants of combings of 3-manifolds