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Stably and almost complex structures on bounded flag manifolds

Author: Yusuf Civan
Journal: Proc. Amer. Math. Soc. 134 (2006), 1537-1548
MSC (2000): Primary 57S25, 57N65
Published electronically: October 18, 2005
MathSciNet review: 2199203
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Abstract: We study the enumeration problem of stably complex structures on bounded flag manifolds arising from omniorientations, and determine those induced by almost complex structures. We also enumerate the stably complex structures on these manifolds which bound, therefore representing zero in the complex cobordism ring $ \Omega_*^U$.

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Additional Information

Yusuf Civan
Affiliation: Department of Mathematics, Suleyman Demirel University, Isparta, 32260, Turkey

Keywords: Bounded flag manifolds, torus actions, stably and almost complex structures
Received by editor(s): April 23, 2004
Received by editor(s) in revised form: December 16, 2004
Published electronically: October 18, 2005
Communicated by: Paul Goerss
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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