10 citations · 10 across the 5 of their papers we have counts for
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On the weak reducing pairs in critical Heegaard splitting
Dongqi Sun, Qiang E
A weak reducing pair in a Heegaard splitting M = V \cup_S W is a pair of disjoint essential disks D \in V and E \in W. The weakly reducible Heegaard splitting contains at least one…
On Heegaard splittings with finite many pairs of disjoint compression disks
Qiang E, Zhiyan Zhang
Suppose is a weakly reducible Heegaard splitting of a closed 3-manifold which admits only pairs of disjoint compression disks on distinct sides and . We show $…
On keen weakly reducbile Heegaard splittings
Qiang E
A Heegaard splitting which admits a unique pair of disjoint compression disks on distinct sides is said to be keen weakly reducible. This paper provides an construction of keen wea…
A proof of Lickorish and Wallace's theorem
Qiang E, Fengchun Lei, Fengling Li
In this paper, we give a simple proof of Lickorish and Wallace's theorem, which states that every closed orientable 3-manifold is obtained by surgery on some link in 3-sphere.
Critical Heegaard surfaces obtained by self-amalgamation
Qiang E, Fengchun Lei
Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper we give a sufficient condition and a necessary condit…