Timeline for What is the homotopy category of the sphere spectrum?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Sep 6, 2021 at 22:55 | comment | added | Emily | @FernandoMuro I had heard of stable quadratic modules before, but at the time I had trouble finding any reference to learn about them. This time however I found a paper you wrote pointing to Baues, so I can finally understand what they are now. Thank you! | |
| Sep 6, 2021 at 8:34 | comment | added | Fernando Muro | In case you're not acquainted with stable quadratic modules, if you want to see it as a symmetric monoidal groupoid, then the object set is $\mathbb{Z}$, the automorphism group of an object is $\{\pm1\}$, there are no morphisms other than automorphisms, the tensor product is addition on objects and multiplication on morphisms, the associativity and unitarity constraints are identities, and the commutativity constraint $m+n\rightarrow n+m$ is $(-1)^{mn}$. | |
| Sep 6, 2021 at 8:31 | comment | added | Fernando Muro | The easiest description is that it is the stable quadratic module $\mathbb{Z}\otimes\mathbb{Z}\twoheadrightarrow\mathbb{Z}/(2)\stackrel{0}{\rightarrow}\mathbb{Z}$ | |
| Sep 5, 2021 at 19:08 | history | edited | Emily | CC BY-SA 4.0 |
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| Sep 5, 2021 at 19:08 | comment | added | Emily | @FernandoMuro Sorry, I was a bit confused. | |
| Sep 5, 2021 at 8:55 | comment | added | Fernando Muro | This question looks a bit cumbersome to me. Are not you asking about the fundamental groupoid of the infinite loop space of the sphere spectrum? | |
| Sep 5, 2021 at 6:18 | history | became hot network question | |||
| Sep 4, 2021 at 23:43 | vote | accept | Emily | ||
| Sep 4, 2021 at 22:52 | answer | added | Tim Campion | timeline score: 12 | |
| Sep 4, 2021 at 22:20 | history | edited | Emily | CC BY-SA 4.0 |
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| Sep 4, 2021 at 22:15 | history | asked | Emily | CC BY-SA 4.0 |