Topological Hochschild homology of Thom spectra and the free loop space
Topological Hochschild homology of Thom spectra and the free loop space
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Thom 谱和自由环空间的拓扑 Hochschild 同调
DOI：
10.2140/gt.2010.14.1165
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发表时间：
2008
影响因子：
2
通讯作者：
Christian Schlichtkrull
中科院分区：
文献类型：
--
作者：
A. Blumberg;R. Cohen;Christian Schlichtkrull
We describe the topological Hochschild homology of ring spectra that arise as Thom spectra for loop maps f : X! BF, where BF denotes the classifying space for stable spherical fibrations. To do this, we consider sym- metric monoidal models of the category of spaces over BF and corresponding strong symmetric monoidal Thom spectrum functors. Our main result identi- fies the topological Hochschild homology as the Thom spectrum of a certain stable bundle over the free loop space L(BX). This leads to explicit calcula- tions of the topological Hochschild homology for a large class of ring spectra, including all of the classical cobordism spectra MO, MSO, MU, etc., and the Eilenberg-Mac Lane spectra HZ/p and HZ.
