THH of Thom spectra that are E_\infty ring spectra
| dc.creator | Blumberg, Andrew J. | |
| dc.date | 2008-11-05 | |
| dc.date.accessioned | 2026-07-07T10:15:45Z | |
| dc.date.available | 2026-07-07T10:15:45Z | |
| dc.description | We identify the topological Hochschild homology (THH) of the Thom spectrum associated to an E_\infty classifying map X -> BG, for G an appropriate group or monoid (e.g. U, O, and F). We deduce the comparison from the observation of McClure, Schwanzl, and Vogt that THH of a cofibrant commutative S-algebra (E_\infty ring spectrum) R can be described as an indexed colimit together with a verification that the Lewis-May operadic Thom spectrum functor preserves indexed colimits. We prove a splitting result THH(Mf) \htp Mf \sma BX_+ which yields a convenient description of THH(MU). This splitting holds even when the classifying map f: X -> BG is only a homotopy commutative A_\infty map, provided that the induced multiplication on Mf extends to an E_\infty ring structure; this permits us to recover Bokstedt's calculation of THH(HZ). | |
| dc.identifier | https://arxiv.org/abs/0811.0803 | |
| dc.identifier | http://arxiv.org/abs/0811.0803 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173274 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55N20; 55P43 | |
| dc.title | THH of Thom spectra that are E_\infty ring spectra | |
| dc.type | text |