Data di Pubblicazione:
2002
Citazione:
Configuration spaces and Vassiliev classes in any dimension / A. Cattaneo, P. Cotta-Ramusino, R. Longoni. - In: ALGEBRAIC AND GEOMETRIC TOPOLOGY. - ISSN 1472-2739. - 2:(2002 Oct 25), pp. 949-1000.
Abstract:
The real cohomology of the space of imbeddings of S1
into Rn , n > 3, is studied by using configuration space integrals. Nontrivial classes
are explicitly constructed. As a by-product, we prove the nontriviality of
certain cycles of imbeddings obtained by blowing up transversal double
points in immersions. These cohomology classes generalize in a nontrivial
way the Vassiliev knot invariants. Other nontrivial classes are constructed
by considering the restriction of classes defined on the corresponding spaces
of immersions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Configuration spaces; Vassiliev invariants; de Rham cohomology of spaces of imbeddings and immersions; Chen’s iterated integrals; graph cohomology
Elenco autori:
A. Cattaneo, P. Cotta-Ramusino, R. Longoni
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