activity
20192026
most cited3-braid knots do not admit purely cosmetic surgeries

6 citations · 15 across the 7 of their papers we have counts for

collaborators

8 papers

math.GT2026

Tight surgeries on torus knots

John B. Etnyre, Hyunki Min, Bülent Tosun +1

We give a complete classification of tight contact structures on manifolds obtained from any surgery along any torus knot, which provides the first such classification on an infini…

math.GT2023★ 1 cited

Certain connect sums of torus knots with infinitely many non-characterizing slopes

Konstantinos Varvarezos

For a knot a slope is said to be characterizing if for no other knot does -framed surgery along yield the same manifold as -framed surgery on Applying a…

math.GT2021★ 1 cited

Heegaard Floer homology and chirally cosmetic surgeries

Konstantinos Varvarezos

A pair of surgeries on a knot is chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. We find new obstructions to the existence of such surgeries…

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★ 6 cited

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.GT2020★ 5 cited

Alternating odd pretzel knots and chirally cosmetic surgeries

Konstantinos Varvarezos

A pair of surgeries on a knot is chirally cosmetic if they result in homeomorphic manifolds with opposite orientations. Using recent methods of Ichihara, Ito, and Saito, we show th…