Mathematics – Algebraic Topology
Scientific paper
2012-03-07
Mathematics
Algebraic Topology
Scientific paper
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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