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Abstract
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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.
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Keywords
homology sphere, homology handlebody, Lagrangian-preserving
surgery, Borromean surgery, finite type invariant, Jacobi
diagram
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Mathematical Subject Classification 2010
Primary: 57M27
Secondary: 57N10, 57N65
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Publication
Received: 7 March 2012
Revised: 10 August 2012
Accepted: 10 August 2012
Published: 16 January 2013
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