Involutions on $S[ΩM]$
| dc.creator | Kro, Tore August | |
| dc.date | 2005-10-11 | |
| dc.date.accessioned | 2026-07-07T06:47:21Z | |
| dc.date.available | 2026-07-07T06:47:21Z | |
| dc.description | The contribution of this PhD thesis is to construct for each vector bundle $ξ$ an orthogonal ring spectrum $R$, weakly equivalent to $S[ΩM]$, together with an involution on $R$. On the homotopy groups $π_*S[ΩM]$ our involution corresponds to parallel transportation in $ξ$, and reversing loops in $M$. The main result is theorem 4.3.26. The orthogonal ring spectrum $R$ with involution is intended as input for $LA$, $K$, $TC$ and $THH$, the ultimate goal is to compute homotopy groups of automorphism groups. We take a first step in this direction by considering the definition and a few basic properties of $TC(L)$ and $THH(L)$ for arbitrary orthogonal ring spectra $L$ (with involution). | |
| dc.description | 248 pages, Dissertation for the Degree of Dr.Scient. 2005 at the University of Oslo | |
| dc.identifier | https://arxiv.org/abs/math/0510221 | |
| dc.identifier | http://arxiv.org/abs/math/0510221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103626 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P43 (Primary); 18D50, 55P91 (Secondary) | |
| dc.title | Involutions on $S[ΩM]$ | |
| dc.type | text |