3 citations · 3 across the 3 of their papers we have counts for
7 papers · 1 filter
Normal surfaces and colored Khovanov homology
Christine Ruey Shan Lee
We show that colored Khovanov homology detects classes of essential surfaces as a direct analogue of the slope conjectures for the colored Jones polynomial. We do this by identifyi…
Cancellations in the degree of the colored Jones polynomial
Christine Ruey Shan Lee, Roland van der Veen
We give an alternate expansion of the colored Jones polynomial of pretzel links which recovers the degree formula in arXiv:1807.00957. As an application, we determine the degrees o…
On Khovanov Homology and Related Invariants
Carmen Caprau, Nicolle González, Christine Ruey Shan Lee +3
This paper begins with a survey of some applications of Khovanov homology to low-dimensional topology, with an eye toward extending these results to homologies.…
On 3-braids and L-space knots
Christine Ruey Shan Lee, Faramarz Vafaee
We classify closed 3-braids which are L-space knots.
Stability and triviality of the transverse invariant from Khovanov homology
Diana Hubbard, Christine Ruey Shan Lee
We explore properties of braids such as their fractional Dehn twist coefficients, right-veeringness, and quasipositivity, in relation to the transverse invariant from Khovanov homo…
The Slope Conjecture for Montesinos knots
Stavros Garoufalidis, Christine Ruey Shan Lee, Roland van der Veen
The Slope Conjecture relates the degree of the colored Jones polynomial of a knot to boundary slopes of incompressible surfaces. Our aim is to prove the Slope Conjecture for Montes…