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Ascent sliceness William Rushworth Durham University |
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Abstract: A cobordism between virtual links is a pair (S,M), where S is an oriented surface compact surface, M an oriented connected 3-manifold with appropriate boundary, and S is embedded into M x I. Thus we can ask new questions in virtual knot concordance which we cannot ask in the classical case i.e. we can analyse the 3-manifolds appearing in cobordisms, in addition to the surfaces. In this talk I will outline some work in progress, which is an example of this in the case of slice virtual knots. Language: English |