3 citations · 13 across the 18 of their papers we have counts for
8 papers · 1 filter
L-space surgeries on (1,1)-knots in
Qingfeng Lyu, Zipei Nie
We extend the diagrammatic criterion for L-space knots by Greene, Lewallen, and Vafaee to -knots in . We also discuss applications to L-space surgerie…
Petal diagram from simple braids
Zipei Nie
We construct petal diagrams from simple braids. This approach allows us to confirm a conjecture proposed by Kim, No and Yoo, which states that the petal number of the nontrivial to…
Non-left-orderability of cyclic branched covers of pretzel knots
Lin Li, Zipei Nie
We prove the non-left-orderability of the fundamental group of the -th fold cyclic branched cover of the pretzel knot for all integers and . These $3…
An explicit description of L-space knots, and non-left-orderable surgeries
Zipei Nie
Greene, Lewallen and Vafaee characterized L-space knots in and lens space in the notation of coherent reduced -diagrams. We analyze these diagrams, and deduce…
On -bridge braids, satellite knots, the manifold and non-left-orderable surgeries and fillings
Zipei Nie
We define the property (D) for nontrivial knots. We show that the fundamental group of the manifold obtained by Dehn surgery on a knot with property (D) with slope $\frac{p}{q}…
Topologically slice -knots which are not smoothly slice
Zipei Nie
We prove that there are infinitely many -knots which are topologically slice, but not smoothly slice, which was a conjecture proposed by Béla András Rácz.
Left-orderablity for surgeries on -pretzel knots
Zipei Nie
In this paper, we prove that the fundamental group of the manifold obtained by Dehn surgery along a -pretzel knot () with slope is not left order…
On the Minimum Area of Null Homotopies of Curves Traced Twice
Zipei Nie
We provide an efficient algorithm to compute the minimum area of a homotopy between two closed plane curves, given that they divide the plane into finite number of regions. For any…