Comparing cyclotomic structures on different models for topological Hochschild homology

Comparing cyclotomic structures on different models for topological Hochschild homology
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比较拓扑 Hochschild 同调的不同模型上的分圆结构

DOI:
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发表时间:
2017
影响因子:
1.1
通讯作者:
Calvin Woo
Calvin Woo
中科院分区:
数学1区
文献类型:
--
作者:
Emanuele Dotto;Cary Malkiewich;Irakli Patchkoria;S. Sagave;Calvin Woo

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正交环谱A的拓扑Hochschild同调THH(A)可以通过计算A上的循环棒构造或将Bökstedt的THH原始定义应用于A来定义。本文构造了THH(A)的分圆谱的稳定等价链,比较了这两种模型。这意味着由THH(A)的这些变体所得到的拓扑循环同调的两个版本是等价的。
The topological Hochschild homology THH(A) of an orthogonal ring spectrum A can be defined by evaluating the cyclic bar construction on A or by applying Bökstedt's original definition of THH to A . In this paper, we construct a chain of stable equivalences of cyclotomic spectra comparing these two models for THH(A) . This implies that the two versions of topological cyclic homology resulting from these variants of THH(A) are equivalent.
通过范数的拓扑循环同调
DOI: --
发表时间: 2018
影响因子: 0.9
作者:
Angeltveit, Vigleik;Blumberg, Andrew J.;Gerhardt, Teena;Hill, Michael A.;Lawson, Tyler;Mandell, Michael A.
通讯作者: Mandell, Michael A.