Riccardo Longoni

activity

19992022

most citedConfiguration spaces and Vassiliev classes in any dimension

51 citations · 127 across the 10 of their papers we have counts for

collaborators

Showing 2004Show all

2 papers · 1 filter

math.GT2004★ 22 cited

Nontrivial classes in $H^{*} (I mb (S^{1}, R^{n}))$ from nontrivalent graph cocycles

Riccardo Longoni

We construct nontrivial cohomology classes of the space $I mb (S^{1}, R^{n})$ of imbeddings of the circle into $R^{n}$ , by means of Feynman diagrams. More precisely, starting from a suita…

math.AT2004

Configuration spaces are not homotopy invariant

Riccardo Longoni, Paolo Salvatore

We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces $L_{7, 1}$ and $L_{7, 2}$ , and prove tha…

Nontrivial classes in H∗(Imb(S1,Rn)) from nontrivalent graph cocycles

Configuration spaces are not homotopy invariant

Nontrivial classes in $H^{*} (I mb (S^{1}, R^{n}))$ from nontrivalent graph cocycles