Acta Scientiarum Naturalium Universitatis Pekinensis

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Leray-Hirsch Property and Computation of Lefschetz Number

ZHAO Xuan   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2001-07-05 Online:2002-09-20 Published:2002-09-20

Leray-Hirsch性质和Lefschetz数的计算

赵旭安   

  1. 北京大学数学科学学院,北京,100871

Abstract: It is discussed that the computation of Lefschetz numbers of maps on flag manifolds of compact simple lie G by using Leray-Hirsch property. Some applications in geometry and algebra are given.

Key words: flag manifolds, Leray-Hirsch property, cohomology endomorphisms, Lefschetz number

摘要: 利用Leray-Hirsch性质,对于紧单李群G的旗流形,讨论了其上映射的Lefshetz数的计算,并给出了一些几何和代数中的应用。

关键词: 旗流形, Leray-Hirsch性质, 上同调环自同态, Lefschetz数

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