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arXiv · q-alg/9705008

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

Nadya Shirokova
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Abstract

In 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.

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BibTeXRIS

Nadya Shirokova. 1997-05-12. The space of 3-manifolds and Vassiliev finite-type invariants. https://arxiv.org/abs/q-alg/9705008

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