Timeline for How do Schubert classes form a basis for $H^{*}(Gr(k, n))$?
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10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 6, 2016 at 18:26 | comment | added | Jairo Bochi | When I studied this subject, I found this text very useful: www-personal.umich.edu/~jblasiak/grassmannian.pdf | |
| Feb 28, 2016 at 23:23 | vote | accept | Libertron | ||
| Feb 28, 2016 at 23:21 | comment | added | Richard Stanley | Some references are given beginning on page 1078 of Kleiman and Laksov's survey math.ucr.edu/~jdolan/schubert1.pdf. | |
| Feb 28, 2016 at 23:12 | answer | added | Ben Webster♦ | timeline score: 6 | |
| Feb 28, 2016 at 18:14 | comment | added | Libertron | @B.Bischof: Which chapter in Griffiths and Harris has the matrix example? | |
| Feb 28, 2016 at 18:14 | comment | added | Allen Knutson | Yup$ \!\!\! \! $ | |
| Feb 28, 2016 at 18:11 | comment | added | Libertron | @AllenKnutson: Even-real-dimensional comes from the fact that complex space has twice the dimension of real space, correct? | |
| Feb 28, 2016 at 18:08 | comment | added | B. Bischof | A different way to start getting a handle on this is to read the example given in Griffiths and Harris for $\CC$. It is done with matrices which I found more approachable to start with. | |
| Feb 28, 2016 at 18:01 | comment | added | Allen Knutson | Since you're asking a topological question (not, say, about Chow groups), it's unlikely to be given an answer with the details you want in an algebraic geometry or combinatorics book. Read en.wikipedia.org/wiki/Cellular_homology and use the fact that each $Y_p \setminus Y_{p-1}$ is even-real-dimensional to see that the boundary maps vanish. | |
| Feb 28, 2016 at 17:49 | history | asked | Libertron | CC BY-SA 3.0 |