Timeline for Lefschetz duality for twist coefficient
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 3, 2012 at 3:08 | history | edited | Greg Friedman | CC BY-SA 3.0 |
corrected spelling of Lefschetz and fixed some grammar
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| Dec 1, 2012 at 15:40 | answer | added | Danny Ruberman | timeline score: 4 | |
| Dec 1, 2012 at 14:56 | answer | added | Mark Grant | timeline score: 0 | |
| Dec 1, 2012 at 13:41 | comment | added | Donu Arapura | The form of Poincaré duality with twisted or local coefficients that I am familiar with would say that $$H^i(X,\rho)\cong H_c^{n-k}(X,\rho^\vee)^*$$ if we disregard torsion. Here $X$ is an orientable $n$-manifold, and $\rho^\vee$ is the dual or contragredient representation. Taking $X= M-\partial M$ should give the correct form of the statement you want.An overly complicated reference would be Iversen's Cohomology of Sheaves. Look up the more general Verdier dually and specialize to the above case. Alternatively, you can try to modify your favorite existing proof. | |
| Dec 1, 2012 at 6:34 | history | asked | Lin Jianfeng | CC BY-SA 3.0 |