51 citations · 127 across the 10 of their papers we have counts for
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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.QA2003
Associative algebras, punctured disks and the quantization of Poisson manifolds
Domenico Fiorenza, Riccardo Longoni
The aim of the note is to provide an introduction to the algebraic, geometric and quantum field theoretic ideas that lie behind the Kontsevich-Cattaneo-Felder formula for the quant…
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…