谱序列与Morse不等式  

Spectral Sequence and Morse Inequalities

作　　者：倪劲松[1] 杨松林[1] 

机构地区：[1]苏州大学数学科学学院,江苏苏州215006

出　　处：《四川大学学报（自然科学版）》2005年第1期12-18,共7页Journal of Sichuan University(Natural Science Edition)

摘　　要：利用谱序列方法证明了对于紧致微分流形上一般的Morse函数而言,Morse不等式均成立.并说明了对于有序Morse函数而言,谱序列算同调群的方法与下Witten复合形算法是一致的;而对于一般的Morse函数,这两种算法在形式上是不一致的.The authors use method of spectral sequences to prove that Morse inequalities are hold on differential compact manifolds for general Morse functions. They also indicate that for order Morse functions, it can be computed out the same homological groups by method of spectral sequences, as by Witten complex, although they are very different in form for general Morse functions.

关 键 词：微分流形 Morse函数 MORSE不等式 滤子 

分 类 号：O189.33[理学—数学]