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math.AT2016★ 2 cited
The space of short ropes and the classifying space of the space of long knots
Syunji Moriya, Keiichi Sakai
We prove affirmatively the conjecture raised by J. Mostovoy; the space of short ropes is weakly homotopy equivalent to the classifying space of the topological monoid (or category)…
math.AT2006★ 8 cited
Poisson structures on the homology of the space of knots
Keiichi Sakai
In this article we study the Poisson algebra structure on the homology of the totalization of a fibrant cosimplicial space associated with an operad with multiplication. This struc…