Unstabilized Self-amalgamation of a Heegaard Splitting along Disks

Unstabilized Self-amalgamation of a Heegaard Splitting along Disks

下载PDF

导出

摘要 In this paper, we prove that a self-amalgamation of a strongly irreducible Heegaard splitting along disks is unstabilized. In this paper, we prove that a self-amalgamation of a strongly irreducible Heegaard splitting along disks is unstabilized.

作者 Liang Liang Lei Feng-chun Li Feng-ling

机构地区 School of Mathematical Sciences

出处《Communications in Mathematical Research》 CSCD 2016年第2期117-121,共5页 数学研究通讯（英文版）

基金 The NSF(11101058,11329101 and 11471151)of China the Fundamental Research Funds(DUT14ZD208 and DUT14LK12)for the Central Universities

关键词 Heegaard splitting self-amalgamation unstabilized Heegaard splitting, self-amalgamation, unstabilized

分类号 O186.11 [理学—基础数学]

引文网络
相关文献

参考文献19

1Schultens J. The classification of Heegaard splittings for (compact orientable surface)zS1.
2Kirby R. Problems in low-dimensional topology. Algebr. Geom. Topol., 1978, 32:273 312.
3Bachman D. Connected sums of unstabilized Heegaard splittings are unstabilized. Geom. Topoi., 2008, 12:2327 2378.
4Qiu R F, Scharlemann M. A proof of the Gordon conjecture. Adv. Math., 2009, 222(6): 2085- 2106.
5Bachman D, Derby-Talbot R. Degeneration of Heegaard genus, a survey. Geom. Topol. Monogr., 2007, 12: 1-15.
6Bachman D, Schleimer S, Sedgwick E. Sweepouts of amalgamated 3-manifolds. Algebr. Geom. Topoi., 2006, 6: 171-194.
7Kobayashi T, Qiu R F, Rieck Y, Wang S C. Separating incompressible surfaces and stabiliza- tions of Heegaard splittiugs. Math. Proc. Cambridge Philos. Soc., 2004, 137: 633-643.
8Schultens J, Weidmann R. Destabilizing amalgamated Heegaard splittings. Geom. Topol. Monogr., 2007, 12: 319-344.
9Lackenby M. The Heegaard genus of amalgamated 3-manifolds. Geom. Dedieata, 2004, 109: 139-145.
10Li T. On the Heegaard Splittings of Amalgamated 3-manifolds. in: Geom. Topol. Monogr. vol. 12. Coventry: Geom. Topol. Publ., 2007.

1杨乐,杨重骏.Angular Distribution of Values of ff'[J].Science China Mathematics,1994,37(3):284-294. 被引量：3
2褚玉明,程金发,王根娣.REMARKS ON JOHN DISKS[J].Acta Mathematica Scientia,2009,29(1):160-168.
3褚玉明,程金发,王根娣.REMARKS ON JOHN DISKS[J].软件工程师,2009(4).
4李淑云,刘名生.On the Borel Radius of K-quasimeromophic Mappings in the Unit Disk[J].Chinese Quarterly Journal of Mathematics,2003,18(4):388-394.
5Xutao GAO,Qilong GUO.The Unstabilized Amalgamation of Heegaard Splittings along Disconnected Surfaces[J].Journal of Mathematical Research with Applications,2013,33(4):475-482.
6Yi QI,Yan WU.On Nonuniqueness of Geodesics and Geodesic Disks in the Universal Asymptotic Teichmüller Space[J].Acta Mathematica Sinica,English Series,2017,33(2):201-209. 被引量：1
7ZOU YanQing,LIU XiMin.Bilateral self-amalgamation of a Heegaard splitting and Hempel distance[J].Science China Mathematics,2015,58(7):1499-1510.
8D. D. GANJI,M. ABBASI,J. RAHIMI,M. GHOLAMI,I. RAHIMIPETROUDI.On the MHD squeeze flow between two parallel disks with suction or injection via HAM and HPM[J].Frontiers of Mechanical Engineering,2014,9(3):270-280. 被引量：2
9Hong-Jie Zhong,Cun-Biao Lee.The wake of falling disks at low Reynolds numbers[J].Acta Mechanica Sinica,2012,28(2):367-371. 被引量：2
10S. Asghar,Masood Khan,A.M. Siddiqui,T. Hayat.EXACT SOLUTIONS FOR MAGNETOHYDRODYNAMIC FLOW IN A ROTATING FLUID[J].Acta Mechanica Sinica,2002,18(3):244-251.

Communications in Mathematical Research

2016年第2期

浏览历史

内容加载中请稍等...

Unstabilized Self-amalgamation of a Heegaard Splitting along Disks

参考文献19

相关作者

相关机构

相关主题

浏览历史