On the homology of the space of singular knots

Details On the homology of the space of singular knots On the homology of the space of singular knots

2009-01-02

arxiv.org/abs/0901.0263v2

Mathematics

Algebraic Topology

Scientific paper

In this paper we introduce various associative products on the homology of
the space of knots and singular knots in $S^n$. We prove that these products
are related through a desingularization map. We also compute some of these
products and prove the nontriviality of the desingularization morphism.

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