Timeline for Algebraic De Rham cup product versus Betti cup product
Current License: CC BY-SA 3.0
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| Apr 28, 2012 at 17:05 | comment | added | Hugo Chapdelaine | Dear Charlie, so basically my question boils down to compare algebraic Poincare duality with duality of singular cohomology. | |
| Apr 27, 2012 at 18:04 | comment | added | Charlie Frohman | The heart of the question as you ask it is how to relate the wedge product in DeRham cohomology to the cup product in singular cohomology. The way to do this is to realize that they are both sheaf theoretic cohomology coming from a resolution of the constant sheaf. You can find this done carefully in Warner's "Foundations of Differentiable Manifolds and Lie Groups". But, I don't think you need to go there, as the practical par of your question is really about computing intersection numbers. | |
| Apr 27, 2012 at 16:27 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 27, 2012 at 0:26 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 26, 2012 at 21:01 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 26, 2012 at 20:55 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 26, 2012 at 17:55 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 26, 2012 at 2:56 | answer | added | Paul | timeline score: 8 | |
| Apr 25, 2012 at 12:43 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 25, 2012 at 12:01 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 25, 2012 at 10:59 | history | edited | Hugo Chapdelaine | CC BY-SA 3.0 |
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| Apr 24, 2012 at 21:39 | history | asked | Hugo Chapdelaine | CC BY-SA 3.0 |