Algebraic structures on graph cohomology

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dc.creatorCattaneo, Alberto S.
dc.creatorCotta-Ramusino, Paolo
dc.creatorLongoni, Riccardo
dc.date2003-07-16
dc.date2005-03-18
dc.date.accessioned2026-07-07T04:59:41Z
dc.date.available2026-07-07T04:59:41Z
dc.descriptionWe define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S^1 or R into R^n. As a corollary, we deduce the existence of an infinite number of nontrivial cohomology classes in Imb(S^1,R^n) when n is even and greater than 3. Finally, we give a new interpretation of the anomaly term for the Vassiliev invariants in R^3.
dc.descriptionTypos corrected, exposition improved. 14 pages, 2 figures. To appear in J. Knot Theory Ramifications
dc.identifierhttps://arxiv.org/abs/math/0307218
dc.identifierhttp://arxiv.org/abs/math/0307218
dc.identifierJournal of Knot Theory and Its Ramifications, Vol. 14, No. 5 (2005) 627-640
dc.identifierdoi:10.1142/S0218216505004019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68087
dc.subjectGeometric Topology
dc.subject58D10; 81Q30
dc.titleAlgebraic structures on graph cohomology
dc.typetext

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