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math.GT2012★ 4 cited
Transverse string topology and the cord algebra
Somnath Basu, Jason McGibbon, Dennis Sullivan +1
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 specia…
math.AT2012★ 5 cited
Of Sullivan models, Massey products, and twisted Pontrjagin products
Somnath Basu
Associated to every connected, topological space there is a Hopf algebra - the Pontrjagin ring of the based loop space of the configuration space of two points in X. We prove t…