SOME RESULTS ON HEEGAARD SPLITTING

doi:10.1007/s10473-022-0612-z

摘要/Abstract

摘要： A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

关键词: stabilization, Heegaard genus, Heegaard distance

Abstract: A Heegaard splitting is a type of combinatorial structure on an orientable compact 3-manifold. We will give a survey on Heegaard spliting and its applications, including those pertaining to the classification and stabilization problem, reducibilities, minimal Heegaard splitting and Heegaard distance.

Key words: stabilization, Heegaard genus, Heegaard distance

中图分类号:

57M50

Ruifeng QIU, Yanqing ZOU. SOME RESULTS ON HEEGAARD SPLITTING[J]. 数学物理学报(英文版), 2022, 42(6): 2437-2449.

Ruifeng QIU, Yanqing ZOU. SOME RESULTS ON HEEGAARD SPLITTING[J]. Acta mathematica scientia,Series B, 2022, 42(6): 2437-2449.

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