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Transverse string topology and the cord algebra

Transverse string topology and the cord algebra

We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold K ⊂ M .When the submanifold is a knot in R 3 , we show this structure recovers a specialization of Ng cord algebra [Ng3], a non-trivial knot invariant which is not determined by a …