Genuine equivariant operads
Genuine equivariant operads
复制标题
真正的等变操作
DOI：
10.1016/j.aim.2020.107502
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发表时间：
2017
影响因子：
1.7
通讯作者：
L. Pereira
中科院分区：
文献类型：
--
作者：
P. Bonventre;L. Pereira
我们建立新的代数结构，我们称之为真正的等变运算，可以被认为是运算和系数系统之间的混合。然后，我们证明了Elmendorf-Piacenza型定理，说明等变运算符，其图形模型结构，相当于真正的等变运算符，其投影模型结构。作为应用，我们建立了Blumberg和Hill的N∞-操作数的显式模型.
We build new algebraic structures, which we call genuine equivariant operads and which can be thought of as a hybrid between operads and coefficient systems. We then prove an Elmendorf-Piacenza type theorem stating that equivariant operads, with their graph model structure, are equivalent to genuine equivariant operads, with their projective model structure. As an application, we build explicit models for the N∞-operads of Blumberg and Hill.