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Self-maps of the Grassmannian of Complex Structures Dedicated to Professor Boju Jiang on his 65th birthday

Published online by Cambridge University Press:  04 December 2007

Haibao Duan
Haibao Duan
Affiliation:
Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China. E-mail: dhb@sxx0.math.pku.edu.cn
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Abstract

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Let CSn be the flag manifold SO(2n)/U(n). We give a partial classification for the endomorphisms of the cohomology ring H*(CSn; Z) which is very close to a homotopy classification of all selfmaps of CSn. Applications concerning the geometry of the space are discussed.

Keywords

cohomology ringcomplex structuresflag manifolds
Type
Research Article
Information
Compositio Mathematica , Volume 132 , Issue 2 , June 2002 , pp. 159 - 175
Copyright
© 2002 Kluwer Academic Publishers