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What are the best books or (survey) articles ib the topology and geometry of Grassmannians $G_k(\mathbb{R}^n)$ or $G_k(\mathbb{C}^n)$. I am interested in:

  • Is there a topological classification possible, using the extra structure of "being a Grassmannian" ?
  • Is there a differential toppological classfificuation ? (for example: are there any exotic or fake Grassmannians) ?

This is the same question as I have altered things a bit, since the stackexchange question is nuch to wide to ask here, I think.

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closed as no longer relevant by Ryan Budney, Loop Space, Deane Yang, quid, Gjergji Zaimi Aug 27 '11 at 2:29

This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center.If this question can be reworded to fit the rules in the help center, please edit the question.

I don't understand -- you accepted an answer to the question there, so why post here? I will answer at MSE. – Ryan Budney Aug 26 '11 at 7:25
I did not know this wasn't allowed. I don't know how many people are reading both blogs. I comment on your answer in stackexchange, yo keep all in one place. – Willem Aug 26 '11 at 22:02