Transverse string topology and the cord algebra

Published 21 Oct 2012 in math.GT, math.AT, and math.SG | (1210.5722v3)

Abstract: We define a coalgebra structure for open strings transverse to any framed codimension 2 submanifold. When the submanifold is a knot in R^3, we show this structure recovers a specialization of the Ng cord algebra, a non-trivial knot invariant which is not determined by a number of other knot invariants.

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