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Regular version of the site

Article

The Alexander polynomial as an intersection of two cycles in a symmetric power

Journal of Knot Theory and Its Ramifications. 2015. Vol. 24. No. 12. P. 1-22.

 

We consider a braid β which acts on a punctured plane. Then we construct a local

system on this plane and find a homology cycle D in its symmetric power, such that D · β(D) coincides with the Alexander polynomial of the plait closure of β.