Acta mathematica scientia,Series B ›› 2022, Vol. 42 ›› Issue (6): 2336-2342.doi: 10.1007/s10473-022-0608-8

• Articles • Previous Articles     Next Articles

STRONGLY IRREDUCIBLE SELF-AMALGAMATION OF A HANDLEBODY

Liyuan MA1, Liang LIANG2, Fengchun LEI1   

  1. 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China;
    2. School of Mathematics, Liaoning Normal University, Dalian 116029, China
  • Received:2022-07-07 Online:2022-12-25 Published:2022-12-16
  • Contact: Fengchun LEI, E-mail: fclei@dlut.edu.cn E-mail:fclei@dlut.edu.cn
  • Supported by:
    Supported in part by NSFC (12071051) and the National Science Foundation of Liaoning Province of China (2020-MS-244) and the Fundamental Research Funds for the Central Universities (DUT21LAB302).

Abstract: In this paper, we will give a sufficient condition for the self-amalgamation of a handlebody to be strongly irreducible.

Key words: Heegaard splitting, self-amalgamation, strongly irreducble

CLC Number: 

  • 57N10
Trendmd