Timeline for Equivalent definitions of Thom spectra
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 31, 2019 at 19:57 | vote | accept | Mattia Coloma | ||
| Jul 31, 2019 at 6:30 | comment | added | domenico fiorenza | Beautiful answer. Let me add that the description of the Thom spectrum $MG$ as homotopy G-coinvariants of the sphere spectrum given in the third example makes the connection to the the cobordism hypothesis, and so to the Galatius-Madsen-Tillmann-Weiss theorem, as both $\Omega^\infty MG$ and $|Bord^G|$ corepresent the functor $X\mapsto X^{hG}$ on infinite loop spaces. This can be found in Lurie's "On the Classification of Topological Field Theories" immediately after Theorem 2.5.10. | |
| Jul 31, 2019 at 0:26 | history | answered | Dylan Wilson | CC BY-SA 4.0 |