NONTRIVIAL CLASSES IN H( Imb (S,R)) FROM NONTRIVALENT GRAPH COCYCLES

نویسنده

  • RICCARDO LONGONI
چکیده

We construct nontrivial cohomology classes of the space Imb (S, Rn) of imbeddings of the circle into Rn, by means of Feynman diagrams. More precisely, starting from a suitable linear combination of nontrivalent diagrams, we construct, for every even number n ≥ 4, a de Rham cohomology class on Imb (S, Rn). We prove nontriviality of these classes by evaluation on the dual cycles.

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تاریخ انتشار 2004