Timeline for homology and cohomology of a quotient manifold
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 14, 2010 at 12:35 | vote | accept | HKSHLZW | ||
| Dec 9, 2010 at 21:49 | comment | added | Sergey Melikhov | To elaborate a bit on Mark's answer, when G is finite cyclic, the Smith (Smith-Richardson) sequences are an elementary but quite powerful tool ($G=\Bbb Z/2$ and integer coefficients are in Hatcher's Example 3H.3; $G=\Bbb Z/p$ and mod $p$ coefficients are e.g. in V. Prasolov's Elements of homology theory). For an $n$-fold ramified cover $X\to Y$, Dmitry Gugnin gave a cool inequality for rational (or mod $p$, where $p>n$) cohomology cup-lengths: $l(Y)+1\ge (l(X)+1)/n$. He essentially uses Buchstaber's $n$-valued group theory. This is his PhD thesis, I guess not translated into English yet. | |
| Dec 9, 2010 at 14:17 | history | answered | Mark Grant | CC BY-SA 2.5 |