Self-maps of the Grassmannian of Complex Structures Dedicated to Professor Boju Jiang on his 65th birthday |
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| Authors: | Haibao Duan |
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| Institution: | (1) Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China |
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| Abstract: | Let CS
n
be the flag manifold SO(2n)/U(n). We give a partial classification for the endomorphisms of the cohomology ring H
*(CS
n
; Z) which is very close to a homotopy classification of all selfmaps of CS
n
. Applications concerning the geometry of the space are discussed. |
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| Keywords: | cohomology ring complex structures flag manifolds |
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