Publication: Algebraic structures on graph cohomology
Algebraic structures on graph cohomology
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Cattaneo, A. S., Cotta-Ramusino, P., & Longoni, R. (2005). Algebraic structures on graph cohomology. Journal of Knot Theory and Its Ramifications, 14(5), 627–640. https://doi.org/10.1142/S0218216505004019
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We define algebraic structures on graph cohomology and prove that they correspond to algebraic structures on the cohomology of the spaces of imbeddings of S1 or ℝ into ℝn. As a corollary, we deduce the existence of an infinite number of nontrivial cohomology classes in Imb(S1, ℝn) when n is even and greater than 3. Finally, we give a new interpretation of the anomaly term for the Vassiliev invariants in ℝ3.
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- Cattaneo, A S
- Cotta-Ramusino, P
- Longoni, R
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Cattaneo, A. S., Cotta-Ramusino, P., & Longoni, R. (2005). Algebraic structures on graph cohomology. Journal of Knot Theory and Its Ramifications, 14(5), 627–640. https://doi.org/10.1142/S0218216505004019
