Unstabilized and uncritical self-amalgamation along essential subsurfaces

作者：Liang, Liang^*; Li, Fengling; Lei, Fengchun

来源：Science China Mathematics, 2019, 62(9): 1807-1812.

DOI：10.1007/s11425-017-9202-3

• self-amalgamation
• curve complex
• stabilization
• critical surface

Suppose V ?W-S is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F-1 and F-2 are pairwise disjoint homeomorphic essential subsurfaces in partial differential _V. In this paper, we give a suffcient condition such that the self-amalgamation of V ?W-S along F-1 and F-2 is unstabilized and uncritical.

• 出版日期2019-9
• 单位大连理工大学; 辽宁师范大学