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The Fulton–MacPherson operad and the $W$-construction
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2021-03-24 , DOI: 10.4310/hha.2021.v23.n2.a1 Paolo Salvatore 1
Homology, Homotopy and Applications ( IF 0.8 ) Pub Date : 2021-03-24 , DOI: 10.4310/hha.2021.v23.n2.a1 Paolo Salvatore 1
Affiliation
We construct an $O(n)$-equivariant isomorphism of topological operads $F_n \cong WF_n$ where $F_n$ is the Fulton–MacPherson operad and $W$ is the Boardman–Vogt construction. For $n = 2$ the isomorphism is explicit.
中文翻译:
富尔顿-麦克弗森(Fulton–MacPherson)的运作和$ W $的建构
我们构造了拓扑操作数$ F_n \ cong WF_n $的等价同构$ O(n)$,其中$ F_n $是Fulton–MacPherson操作,而$ W $是Boardman–Vogt构造。对于$ n = 2 $,同构是显式的。
更新日期:2021-03-25
中文翻译:
富尔顿-麦克弗森(Fulton–MacPherson)的运作和$ W $的建构
我们构造了拓扑操作数$ F_n \ cong WF_n $的等价同构$ O(n)$,其中$ F_n $是Fulton–MacPherson操作,而$ W $是Boardman–Vogt构造。对于$ n = 2 $,同构是显式的。