Timeline for Thom's result and Poincaré duality
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 23, 2011 at 10:07 | comment | added | muta yasushi | Thanks!I will study the characteristic class in view point of the connection. Above bundle is trivial if and only if the loop is orientation no-reversing? | |
| Jul 22, 2011 at 15:29 | comment | added | Konrad Waldorf | The thing with the loop is simply that you realize $w_1$ as a "principal $\mathbb{Z}_2$-bundle with connection over $M$". The homomorphism is its holonomy, which is trivial if and only if the bundle is trivial. | |
| Jul 22, 2011 at 13:08 | history | edited | Mark Grant | CC BY-SA 3.0 |
less c's
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| Jul 22, 2011 at 11:41 | vote | accept | muta yasushi | ||
| Jul 22, 2011 at 11:41 | vote | accept | muta yasushi | ||
| Jul 22, 2011 at 11:41 | |||||
| Jul 22, 2011 at 11:12 | history | edited | Mark Grant | CC BY-SA 3.0 |
Addendum
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| Jul 22, 2011 at 10:33 | comment | added | muta yasushi | Very thanks! I have realized much. In addition, How we understand for orientation reversing? Do we use the nature of the characteristic class? | |
| Jul 21, 2011 at 19:35 | history | answered | Mark Grant | CC BY-SA 3.0 |