10 citations · 18 across the 3 of their papers we have counts for
3 papers
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 and , and prove tha…
math.AT2003★ 10 cited
Homotopy Inner Products for Cyclic Operads
Riccardo Longoni, Thomas Tradler
We introduce the notion of homotopy inner products for any cyclic quadratic Koszul operad , generalizing the construction already known for the associative operad. This…
math.GT2003★ 8 cited
Algebraic structures on graph cohomology
Alberto S. Cattaneo, Paolo Cotta-Ramusino, Riccardo Longoni
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 c…