We give inequalities for the Manolescu invariants α, β, γ under the connected sum operation.
We compute the Manolescu invariants of connected sums of some Seifert fiber spaces …

We study the effect of satellite operations on the Upsilon invariant of Ozsváth–Stipsicz–
Szabó. We obtain results concerning when a knot and its satellites are independent; for …

Among the knots that are the connected sum of two torus knots with cobordism distance 1,
we characterise those that have 4-dimensional clasp number at least 2, and we show that …

We provide explicit formulas for the integer-valued smooth concordance invariant υ (K)= Υ K
(1) for every 3–braid knot K. We determine this invariant, which was defined by Ozsváth …

To a region C of the plane satisfying a suitable convexity condition we associate a knot
concordance invariant ϒ C. For appropriate choices of the domain this construction gives …

arXiv:2404.11286v1 [math.GT] 17 Apr 2024 Page 1 HYPERBOLIC L-SPACE KNOTS NOT
CONCORDANT TO ALGEBRAIC KNOTS MACIEJ BORODZIK AND MASAKAZU TERAGAITO …

We calculate the alternation number of torus knots with braid index 4 and less. For the lower
bound, we use the Upsilon-invariant recently introduced by Ozsváth, Stipsicz, and Szabó …

We consider the question, asked by Friedl, Livingston and Zentner, of which sums of torus
knots are concordant to alternating knots. After a brief analysis of the problem in its full …

Knots not concordant to L-space knots Page 1 Periodica Mathematica Hungarica (2020) 80:269–272
https://doi.org/10.1007/s10998-020-00329-y Knots not concordant to L-space knots …

This work in low-dimensional topology investigates questions on the concordance of knots
and links. Links are one-dimensional submanifolds of S^ 3, the three-dimensional sphere …