论文标题
扭曲拓扑Hochschild的计算工具
Computational tools for twisted topological Hochschild homology of equivariant spectra
论文作者
论文摘要
Angeltveit，Blumberg，Gerhardt，Hill，Lawson和Mandell引入了$ C_N $ Equivariant Spectra的扭曲拓扑Hochschild同源性，在Hill，Hopkins和Ravenel上建立了Equivariant同型既同质疾病的规范。在本文中，我们介绍了计算扭曲的工具，我们将其应用于Thom Spectra，Eilenberg-Maclane Spectra和真正的Bordism Spectrum $ MU _ {\ Mathbb {r}} $的计算。特别是，我们构建了Bökstedt光谱序列的均等版本，其配方需要进一步开发绿色功能子的Hochschild同源性，首先由Blumberg，Gerhardt，Hill和Lawson引入。
Twisted topological Hochschild homology of $C_n$-equivariant spectra was introduced by Angeltveit, Blumberg, Gerhardt, Hill, Lawson, and Mandell, building on the work of Hill, Hopkins, and Ravenel on norms in equivariant homotopy theory. In this paper we introduce tools for computing twisted THH, which we apply to computations for Thom spectra, Eilenberg-MacLane spectra, and the real bordism spectrum $MU_{\mathbb{R}}$. In particular, we construct an equivariant version of the Bökstedt spectral sequence, the formulation of which requires further development of the Hochschild homology of Green functors, first introduced by Blumberg, Gerhardt, Hill, and Lawson.
