8 citations · 15 across the 9 of their papers we have counts for
9 papers
Equivariant topological slice disks and negative amphichiral knots
Keegan Boyle, Wenzhao Chen
We show that any strongly negative amphichiral knot with a trivial Alexander polynomial is equivariantly topologically slice.
Negative amphichiral knots and the half-Conway polynomial
Keegan Boyle, Wenzhao Chen
In 1979, Hartley and Kawauchi proved that the Conway polynomial of a strongly negative amphichiral knot factors as . In this paper, we normalize the factor to def…
An infinite-rank summand from iterated Mazur pattern satellite knots
Wenzhao Chen
We show there exists a topologically slice knot such that the knots obtained by iterated satellite operations by the Mazur pattern span an infinite-ra…
Knot Floer homology of satellite knots with (1,1)-patterns
Wenzhao Chen
For pattern knots admitting genus-one bordered Heegaard diagrams, we show the knot Floer chain complexes of the corresponding satellite knots can be computed using immersed curves.…
On the Alexander polynomial and the signature invariant of two-bridge knots
Wenzhao Chen
Fox conjectured the Alexander polynomial of an alternating knot is trapezoidal, i.e. the coefficients first increase, then stabilize and finally decrease in a symmetric way. Recent…
A lower bound for the double slice genus
Wenzhao Chen
In this paper, we develop a lower bound for the double slice genus of a knot using Casson-Gordon invariants. As an application, we show that the double slice genus can be arbitrari…
A note on 0-bipolar knots of concordance order two
Wenzhao Chen
Let be the group of smooth concordance classes of topologically slice knots, and $\{0\}\subset\cdots\subset \mathcal{T}_{n+1}\subset\mathcal{T}_{n}\subset \cdots\subs…
On the Upsilon invariant of cable knots
Wenzhao Chen
In this paper, we study the behavior of under the cabling operation, where is the knot concordance invariant defined by Ozsváth, Stipsicz, and Szabó, associated t…
Mod r Vanishing Theorem of Seiberg-Witten Invariant for 4-Manifolds acted by Cyclic Group Z_r
Wenzhao Chen
In this paper, a vanishing theorem is stated and proved. If a 4-manifold admits a smooth action by a cyclic group , then given an -equivariant $Spin…