Timeline for Normal invariants
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| Nov 2, 2020 at 15:58 | comment | added | Connor Malin | Sorry I meant the surgery groups not the surgery exact sequence. | |
| Nov 2, 2020 at 15:52 | comment | added | Connor Malin | Good to point out that we know the homotopy groups of $G/Top$, the surgery exact sequence, and we know that $Top/O$ has homotopy groups (maybe we need above dimension 4) in bijection with oriented exotic spheres. So from the sequence $Top/O \rightarrow G/O \rightarrow G/Top$ we see that essentially the normal invariants break up into components coming from exotic spheres and components coming from the surgery obstructions (corresponding to Milnor and Kervaire manifolds). Upon rationalization this gives what you have. | |
| Nov 2, 2020 at 14:25 | history | answered | Jens Reinhold | CC BY-SA 4.0 |