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Algebraic structures on graph cohomology | | Alberto S. Cattaneo
; Paolo Cotta-Ramusino
; Riccardo Longoni
; | | Date: |
16 Jul 2003 | | Journal: | Journal of Knot Theory and Its Ramifications, Vol. 14, No. 5 (2005) 627-640 DOI: 10.1142/S0218216505004019 | | Subject: | Geometric Topology MSC-class: 58D10; 81Q30 | math.GT | | Abstract: | We 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. | | Source: | arXiv, math.GT/0307218 | | Services: | Forum | Review | PDF | Favorites | |
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