摘要
Suppose V ∪S W is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F1 and F2 are pairwise disjoint homeomorphic essential subsurfaces in ?V. In this paper,we give a sufficient condition such that the self-amalgamation of V ∪S W along F1 and F2 is unstabilized and uncritical.
Suppose V ∪S W is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F1 and F2 are pairwise disjoint homeomorphic essential subsurfaces in ?V. In this paper,we give a sufficient condition such that the self-amalgamation of V ∪S W along F1 and F2 is unstabilized and uncritical.
基金
supported by National Natural Science Foundation of China(Grant Nos.11601209,11671064,11471151,11401069,11329101 and 11431009)
Scientific Research Foundation for Doctors of Liaoning Province(Grant No.201601239)
Scientific Research Fund of Liaoning Provincial Education Department(Grant No.L201683660)
the Fundamental Research Funds for the Central Universities(Grant No.DUT16LK40)
