Integration of Singular Braid Invariants and Graph Cohomology

  title={Integration of Singular Braid Invariants and Graph Cohomology},
  author={Michael Hutchings},
We prove necessary and sufficient conditions for an arbitrary invariant of braids with m double points to be the “mth derivative” of a braid invariant. We show that the “primary obstruction to integration” is the only obstruction. This gives a slight generalization of the existence theorem for Vassiliev invariants of braids. We give a direct proof by induction on m which works for invariants with values in any abelian group. We find that to prove our theorem, we must show that every relation… CONTINUE READING
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