Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (3): 697-704.doi: 10.1016/S0252-9602(09)60065-5

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HOMOLOGY RIGIDITY OF GRASSMANNIANS

 LI Fang, DUAN Hai-Bao   

  1. Department of Mathematics, Jilin University, Changchun 130024, China;Institute of Mathematics &|Key Laboratory of Mathematics Mechanization, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2008-12-22 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    Supported by NSFC (10631060)

Abstract:

Applying the theory of Gr¨obner basis to the Schubert presentation for the cohomology of Grassmannians [2], we extend the homology rigidity results known for the classical Grassmanians to the exceptional cases.

Key words: Grassmannians, cohomology

CLC Number: 

  • 55S37
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