Finite type invariants of rational homology 3–spheres

Delphine Moussard
2012 Algebraic and Geometric Topology  
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.
doi:10.2140/agt.2012.12.2389 fatcat:z33rhmc64bc53gaa2at4hign2e