Timeline for When does algebraic K theory behave like a cohomology theory
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2016 at 10:44 | comment | added | Sean Tilson | You want to understand the $\infty$-category of modules over $C_*(\Omega X)$, but isn't $C_*(\Omega X)$ Koszul dual to $C^*(X)$ under certain connectivity hypothesis? I would guess that you should look at the paper of Blumberg and Mandell: jtopol.oxfordjournals.org/content/early/2011/03/29/… | |
| Dec 24, 2015 at 0:14 | comment | added | Dmitry Vaintrob | What I want is an invariant of the ring $\text{Chains}\Omega(X)$, whose $\pi_0$ admits a map from the Grothendieck group of $\text{rep}\Omega(X)$, which I want to define as the category of (homologically) graded finite-dimensional $\mathbb{F}$ spaces with homotopy action by the group $\Omega(X)$ (a pre-triangulated DG category). | |
| Dec 23, 2015 at 15:51 | comment | added | Max | what is $Rep\Omega(X)$ concretely? more precise formulation. | |
| Dec 22, 2015 at 9:19 | history | asked | Dmitry Vaintrob | CC BY-SA 3.0 |