Geodesic
Finite type invariants of rational homology 3–spheres
Moussard, Delphine1
1Institut Fourier, 100 rue des maths, BP 74, 38402 St. Martin d’Hères Cedex, France
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2389-2428
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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
Classification : 57M27, 57N10, 57N65
Keywords: homology sphere, homology handlebody, Lagrangian-preserving surgery, Borromean surgery, finite type invariant, Jacobi diagram

Moussard, Delphine  1

1 Institut Fourier, 100 rue des maths, BP 74, 38402 St. Martin d’Hères Cedex, France 
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Moussard, Delphine. Finite type invariants of rational homology 3–spheres. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2389-2428. doi: 10.2140/agt.2012.12.2389

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