Clover calculus for homology 3-spheres via basic algebraic topology

@inproceedings{Auclair2005CloverCF,
  title={Clover calculus for homology 3-spheres via basic algebraic topology},
  author={Emmanuel Auclair and Christine Lescop},
  year={2005}
}
Abstract We present an alternative definition for the Goussarov–Habiro filtration of the Z–module freely generated by oriented integral homology 3–spheres, by means of Lagrangian-preserving homology handlebody replacements (LP–surgeries). Garoufalidis, Goussarov and Polyak proved that the graded space (Gn)n associated to this filtration is generated by Jacobi diagrams. Here, we express elements associated to LP–surgeries as explicit combinations of these Jacobi diagrams in (Gn)n . The obtained… CONTINUE READING

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