Finite type invariants of rational homology 3–spheres

Moussard, Delphine

doi:10.2140/agt.2012.12.2389

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Finite type invariants of rational homology $3$–spheres

Delphine Moussard

Algebraic & Geometric Topology 12 (2012) 2389–2428

DOI: 10.2140/agt.2012.12.2389

Abstract

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.

Keywords

homology sphere, homology handlebody, Lagrangian-preserving surgery, Borromean surgery, finite type invariant, Jacobi diagram

Mathematical Subject Classification 2010

Primary: 57M27

Secondary: 57N10, 57N65

References

Publication

Received: 7 March 2012

Revised: 10 August 2012

Accepted: 10 August 2012

Published: 16 January 2013

Authors

Delphine Moussard
Institut Fourier 100 rue des maths, BP 74 38402 St. Martin d’Hères Cedex France

Volume 12, issue 4 (2012)