Dehn surgery and Seifert surface system

Dehn surgery and Seifert surface system
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DOI:
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发表时间:
2014-06
期刊:
arXiv: Geometric Topology
影响因子:
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通讯作者:
M. Ozawa;K. Shimokawa
M. Ozawa;K. Shimokawa
中科院分区:
其他
文献类型:
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作者:
M. Ozawa;K. Shimokawa

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对于3-球面中具有连通边界的紧致连通3-子流形,我们将曲面的Seifert曲面系的存在性与沿沿着零同调链的Dehn手术联系起来.作为其推论,我们得到了Fox重嵌入定理的一个改进。
For a compact connected 3-submanifold with connected boundary in the 3-sphere, we relate the existence of a Seifert surface system for a surface with a Dehn surgery along a null-homologous link. As its corollary, we obtain a refinement of the Fox's re-embedding theorem.