most recent 30 from http://mathoverflow.net 2013-05-24T15:57:48Z http://mathoverflow.net/feeds/question/73736 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/73736/topology-and-geometry-of-grassmannians-g-k-mathbbrn-or-g-k-mathbbcn Willem 2011-08-26T06:43:48Z 2011-08-26T06:43:48Z

<p>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:</p> <ul> <li>Is there a topological classification possible, using the extra structure of "being a Grassmannian" ?</li> <li>Is there a differential toppological classfificuation ? (for example: are there any exotic or fake Grassmannians) ?</li> </ul> <p>This is the same question as <a href="http://math.stackexchange.com/questions/59414/books-on-topology-and-geometry-of-grassmannians" rel="nofollow">http://math.stackexchange.com/questions/59414/books-on-topology-and-geometry-of-grassmannians</a>. I have altered things a bit, since the stackexchange question is nuch to wide to ask here, I think.</p>