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

DOI:
https://doi.org/10.1090/S0002-9939-05-08085-8

Published electronically:
October 18, 2005

MathSciNet review:
2199203

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 .

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Additional Information

**Yusuf Civan**

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

Email:
ycivan@fef.sdu.edu.tr

DOI:
https://doi.org/10.1090/S0002-9939-05-08085-8

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.