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三维流形Heegaard分解的同调相交核

Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2012-11-10

Journal: 吉林师范大学学报:自然科学版

Volume: 33

Issue: 4

Page Number: 1-5

ISSN: 1674-3873

Key Words: 3-流形;Heegaard分解;同调相交核

Abstract: 本文主要考虑三维流形Heegaard分解的同调相交核,得到的主要结果如下:设(M;U,V;S)为3-流形M的Heegaard分解,包含映射i:S→U,J:S→V诱导的同调群同态分别为i#:H1(S)→H1(U),j#:H1(s)→H1(V),则H2(M)=keri#∩kerj#.

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