On the homology of the space of knots
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چکیده
Consider the space of ‘long knots’ in Rn Kn,1 . This is the space of knots as studied by V. Vassiliev. Based on previous work [5, 12], it follows that the rational homology of K3,1 is free Gerstenhaber-Poisson algebra. A partial description of a basis is given here. In addition, the mod-p homology of this space is a ‘free, restricted Gerstenhaber-Poisson algebra’. Recursive application of this theorem allows us to deduce that there is p-torsion of all orders in the integral homology of K3,1 .
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تاریخ انتشار 2005