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3-MANIFOLD: 作品数：44被引量：10H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Frontiers of Mathematics in China》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金The Royal Society美国国家科学基金World Health Organization更多>>

Sufficient Conditions for Amalgamated 3-Manifolds to be ∂-Irreducible: 《Chinese Annals of Mathematics,Series B》2024年第2期161-172,共12页Bing FANG Fengchun LEI Liang LIANG; supported by the National Natural Science Foundation of China(No.12071051)。; In this paper,the authors give some sufficient conditions for an amalgamated 3-manifold along a compact connected surface F with boundary to be ∂-irreducible in terms of distances between some kinds of vertex subsets ...; 关键词：∂-Irreducibility IRREDUCIBILITY Amalgamated 3-manifold Curve complex Arc complex

Minimal Euler characteristics of 4-manifolds with 3-manifold groups: 《Science China Mathematics》2023年第10期2325-2336,共12页Hongbin Sun Zhongzi Wang; supported by Simons Collaborations in Mathematics and the Physical Sciences(Grant No.615229).; Letπ=π_(1)(M)for a compact 3-manifold M,andχ_(4),p and q^(*)be the invariants of Hausmann and Weinberger(1985),Kotschick(1994)and Hillman(2002),respectively.For a certain class of compact 3-manifolds M,including al...; 关键词：3-MANIFOLD 4-manifold fundamental group Euler characteristic

On Heegaard Splittings with Finitely Many Pairs of Disjoint Compression Disks: 《Journal of Mathematical Research with Applications》2023年第4期496-504,共9页Qiang E Zhiyan ZHANG; Supported by the National Natural Science Foundation of China(Grant No.11671064)。; Suppose V∪S W is a genus-g weakly reducible Heegaard splitting of a closed 3-manifold with finitely many pairs of disjoint compression disks on distinct sides up to isotopy and g>2.We show V∪_(S) W admits an unteles...; 关键词：3-manifolds Heegaard splitting weakly reducible critical surfaces

Haken 3-Manifolds in Small Covers: 《Chinese Annals of Mathematics,Series B》2023年第4期549-560,共12页Lisu WU Li YU; supported by the National Natural Science Foundation of China(No.11871266);the Priority Academic Program Development of Jiangsu Higher Education Institutions。; The authors prove that a 3-dimensional small cover M is a Haken manifold if and only if M is aspherical or equivalently the underlying simple polytope is a flag polytope.In addition,they find that M being Haken is als...; 关键词：Small cover Haken manifold Incompressible surface Flag polytope

H'-splittings of Seifert Manifolds with Boundary: 《Acta Mathematica Sinica,English Series》2023年第4期695-706,共12页Yan XU Feng Chun LEI Feng Ling LI; Supported in part by (Grant No.12071051)of NSFC;the Fundamental Research Funds (Grant No.DUT21LAB302)for the Central Universities。; It is known that each compact connected orient able 3-manifold M with boundary admits an H’-splitting H1∪FH2,where F is a compact connected orientable surface properly embedded in M and splits M into two handlbodies...; 关键词：Seifert manifold H'-splitting vertical or horizontal surface amalgamated 3-manifold

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 free Z_p-torus actions in dimensions two and three: 《Science China Mathematics》2019年第2期391-410,共20页Li Yu; supported by National Natural Science Foundation of China (Grant No. 11371188);the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD); We confirm the Halperin-Carlsson conjecture for free Z_p-torus actions(p is a prime) on 2-dimensional finite CW-complexes and free Z_2-torus actions on closed 3-manifolds.; 关键词：GROUP HOMOLOGY Halperin-Carlsson conjecture Z_p-torus free GROUP action 3-MANIFOLD

Eigenvalues under the Backward Ricci Flow on Locally Homogeneous Closed 3-manifolds: 《Acta Mathematica Sinica,English Series》2018年第7期1179-1194,共16页Song Bo HOU; Supported by NSFC(Grant No.11001268);Chinese Universities Scientific Fund(Grant No.2014QJ002); In this paper, we study the evolving behaviors of the first eigenvalue of the Laplace- Beltrami operator under the normalized backward Ricci flow, construct various quantities which are monotonic under the backward Ri...; 关键词：Homogeneous 3-manifold backward Ricci flow EIGENVALUE estimate

On embedding infinite cyclic covers in compact 3-manifolds: 《Science China Mathematics》2017年第9期1575-1578,共4页GORDON Cameron McA.; We show that there are knots whose infinite cyclic covers do not embed in any compact 3-manifold,answering a question of Jiang et al.(2006).; 关键词：KNOT infinite cyclic cover compact 3-manifold

Virtual Betti numbers and virtual symplecticity of 4-dimensional mapping tori,Ⅱ: 《Science China Mathematics》2017年第9期1591-1598,共8页NI Yi; supported by National Science Foundation of USA(Grant No.DMS1252992);an Alfred P.Sloan Research Fellowship; We show that if the fiber of a closed 4-dimensional mapping torus X is reducible and not S2× S1 or RP3#P3, then the virtual first Betti number of X is infinite and X is not virtually symplectic. This confirms two con...; 关键词：virtual Betti number virtual symplecticity 4-dimensional mapping torus reducible 3-manifold

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