The space of 3-manifolds and Vassiliev finite-type invariants

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dc.creatorShirokova, Nadya
dc.date1997-05-09
dc.date1997-05-12
dc.date.accessioned2026-07-07T09:08:47Z
dc.date.available2026-07-07T09:08:47Z
dc.descriptionIn this paper we develop the theory of finite-type invariants for homologically nontrivial 3-manifolds. We construct an infinite-dimensional affine space with a hypersurface in it corresponding to manifolds with Morse singularities. Connected components of the complement of this hypersurface correspond to homeomorphism type of spin 3-manifolds. This suggests the natural axiomatics of Vassiliev finite-type invariants for arbitrary closed 3-manifolds. An example of an invariant of order 1 is given.
dc.description9 pages, plain TEX
dc.identifierhttps://arxiv.org/abs/q-alg/9705008
dc.identifierhttp://arxiv.org/abs/q-alg/9705008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150844
dc.subjectQuantum Algebra
dc.titleThe space of 3-manifolds and Vassiliev finite-type invariants
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