Abstract
We announce a new approach to a definition of finite type invariants and introduce a notion of n-equivalence for 3-manifolds with boundary. For the ℤ H S we state equivalence of different definitions of finite type invariants. The theory for 3-manifolds is made completely parallel to the corresponding theory for links. We show how to reduce general classification problems of arbitrary 3-manifolds up to n-equivalences to the study of finite type invariants of string links and integer homology spheres.
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Schedule a callMore From: Comptes Rendus de l'Academie des Sciences Series I Mathematics
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