3 papers
math.GT2021
Knot Floer homology of some even 3-stranded pretzel knots
Konstantinos Varvarezos
We apply the theory of "peculiar modules" for the Floer homology of 4-ended tangles developed by Zibrowius (specifically, the immersed curve interpretation of the tangle invariants…
math.GT2020
3-braid knots do not admit purely cosmetic surgeries
Konstantinos Varvarezos
A pair of surgeries on a knot is called purely cosmetic if the pair of resulting 3-manifolds are homeomorphic as oriented manifolds. Using recent work of Hanselman, we show that (n…
math.GT2019
A Note on the Orderability of Dehn Fillings of the Manifold
Konstantinos Varvarezos
We show that Dehn filling on the manifold results in a non-orderable space for all rational slopes in the interval . This is consistent with the L-space con…