Finite type invariants of rational homology 3-spheres

Delphine Moussard (1)

1 IF - Institut Fourier

We consider the rational vector space generated by all rational homology spheres up to orientation-preserving homeomorphism, and the filtration defined on this space by Lagrangian-preserving rational homology handlebody replacements. We identify the graded space associated with this filtration with a graded space of augmented Jacobi diagrams.

Mots clés: Jacobi diagram; homology sphere; homology handlebody; Lagrangian-preserving surgery; borromean surgery; finite type invariant; Jacobi diagram.

Domaines: Topologie géométrique [math.GT]

Delphine Moussard. Finite type invariants of rational homology 3-spheres. Algebraic and Geometric Topology, 2013, 12 (4), pp.2389-2428. ⟨10.2140/agt.2012.12.2389⟩. ⟨hal-00677111v2⟩