17 citations · 42 across the 23 of their papers we have counts for
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math.AT2019★ 1 cited
Invariance of the Goresky-Hingston algebra on reduced Hochschild homology
Manuel Rivera, Zhengfang Wang
We prove that two quasi-isomorphic simply connected differential graded associative Frobenius algebras have isomorphic Goresky-Hingston algebras on their reduced Hochschild homolog…
math.AT2019
Adams' cobar construction revisited
Manuel Rivera
We give a short and streamlined proof of the following statement recently proven by the author and M. Zeinalian: the cobar construction of the dg coassociative coalgebra of normali…
math.AT2019★ 4 cited
Rational homotopy equivalences and singular chains
Manuel Rivera, Felix Wierstra, Mahmoud Zeinalian
Bousfield and Kan's -completion and fiberwise -completion of spaces lead to two different approaches to the rational homotopy theory of non-simply connected…