HANDLEBODY

作品数：8被引量：3H指数：1
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相关期刊：《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Acta Mathematica Scientia》更多>>
相关基金：国家自然科学基金中国博士后科学基金更多>>
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A standard form of incompressible surfaces in 3-dimensional handlebodies
《Science China Mathematics》2023年第10期2309-2324,共16页Wei Lin Fengchun Lei 
supported by National Natural Science Foundation of China(Grant No.12071051);the Fundamental Research Funds for the Central Universities(Grant No.DUT21LAB302).
Applying the Morse theory,we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies.We also give a necessary and sufficient conditio...
关键词：incompressible surface HANDLEBODY Morse theory general position 
STRONGLY IRREDUCIBLE SELF-AMALGAMATION OF A HANDLEBODY
《Acta Mathematica Scientia》2022年第6期2336-2342,共7页Liyuan MA Liang LIANG Fengchun LEI 
Supported in part by NSFC(12071051);the National Science Foundation of Liaoning Province of China(2020-MS-244);the Fundamental Research Funds for the Central Universities(DUT21LAB302)。
In this paper,we will give a sufficient condition for the self-amalgamation of a handlebody to be strongly irreducible.
关键词：Heegaard splitting self-amalgamation strongly irreducble 
A necessary and sufficient condition for a surface sum of two handlebodies to be a handlebody被引量：3
《Science China Mathematics》2020年第10期1997-2004,共8页Fengchun Lei He Liu Fengling Li Andrei Vesnin 
supported by National Natural Science Foundation of China(Grant Nos.11431009 and 11671064);the Fundamental Research Funds for the Central Universities(Grant No.DUT19LK15);Ministry of Science and Education of Russia(Grant No.1.13557.2019/13.1)。
The main results of the paper are that we give a necessary and sufficient condition for a surface sum of two handlebodies along a connected surface to be a handlebody as follows:(1)The annulus sum H=H1∪AH2 of two han...
关键词：HANDLEBODY surface sum of 3-manifolds free group 
On 3-Submanifolds of S3 Which Admit Complete Spanning Curve Systems
《Chinese Annals of Mathematics,Series B》2017年第6期1373-1380,共8页Yan ZHAO Fengchun LEI Fengling LI 
supported by the National Natural Science Foundation of China(Nos.11329101,11431009,11329101,11471151,11401069);the grant of the Fundamental Research Funds for the Central Universities(No.DUT14LK12)
Let M be a compact connected 3-submanifold of the 3-sphere S^3 with one boundary component F such that there exists a collection of n pairwise disjoint connected orientable surfaces S = {S_1, ···, S_n} properly emb...
关键词：Complete surface system Complete spanning curve system Heegaarddiagram Handlebody addition 
Subsurface 1-distance of the Handlebody
《Communications in Mathematical Research》2016年第4期375-382,共8页SUN DONG-QI lei feng-chun 
The NSF(11426076)of China
For a handlebody H w ith dH = 5, let F belong S be an essential connected subsurface of S. Let C（S） be the curve complex of S, AC（F） be the arc and curve complex of F , D（H） belong C（S） be ...
关键词：HANDLEBODY curve complex arc and curve complex subsurface 1-distance 
Planar-busting Curves on the Boundary of a Handlebody
《Communications in Mathematical Research》2013年第2期184-192,共9页Sun Dong-qi Tang Jing-yan Li Feng-ling Lei Feng-chun 
The grant (09XBKQ09) of Harbin Normal University;the NSF (11101058) of China;China Postdoctoral Science Foundation (2011M500049)
Let Hn be an orientable handlebody of genus n. It has been proved that for n not less than 2, there exists an annulus-busting curve in δHm. In the present paper, we prove that for n not less than 2, there exists an e...
关键词：HANDLEBODY planar surface planar-busting curve pants-busting curve 
SD-splittings for Some Bordered 3-Manifolds
《Acta Mathematica Sinica,English Series》2006年第5期1481-1484,共4页Feng Chun LEI Yang LI 
Work supported in part by a grant (No.10171024) of NSFC;a grant of the Outstanding Youth Fellowship of Heilongjiang Province
In the present paper, we characterize the bordered 3-manifolds with genus 1 D-splittings and SD-splittings. We also describe a minimal genus SD-splitting for a handlebody and surface × I.
关键词：HANDLEBODY SD-splitting genus of SD-splitting 
On n-relator 3-manifolds Which Are Handlebodies
《Northeastern Mathematical Journal》2001年第1期53-56,共4页雷逢春 高大新 
TheNSF ( 1 960 1 0 1 9)ofChina .
Let H be a handlebody, J={J 1, …, J n} a collection of 2 sided pairwise disjoint simple closed curves on H. The 3 manifold obtained from H by attaching 2 handles to H along the curves in J is called an n re...
关键词：HANDLEBODY n    relator 3  manifold 
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