Branched coverings, open books and knot periodicity

Branched coverings, open books and knot periodicity
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分支覆盖物、打开的书籍和结周期性

DOI:
10.1016/0040-9383(74)90005-6
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发表时间:
1974
期刊:
影响因子:
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通讯作者:
L. Kauffman
L. Kauffman
中科院分区:
--
文献类型:
--
作者:
L. Kauffman

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也许这种分析最引人注目的推论是Brieskorn流形C(a,,. a)= V(f)n S“”+ l(对于f = zOso f. *+ z,"",zi复变量,ai 2 1正整数,V(f)= C”+ r中的零。近年来,这些流形引起了人们极大的兴趣,产生了奇异球、透镜空间、新的群作用等例子。
Perhaps the most striking corollary of this analysis is a completely topological construction ofthe Brieskorn manifolds C (a,,..., a,)= V (f) n S’“+ l (forf= zOso f..*+ z,““, zi complex variables, ai 2 1 positive integers, V (f)= zeros off in C”+ r). These manifolds have been of extraordinary interest in recent years, producing examples of exotic spheres, lens spaces, new group actions and so on.