Marco Marengon

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20242026

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5 papers · 1 filter

math.GT2026

A note on smoothly slice links in $S^{2} \times S^{2}$

Marco Marengon, Clayton McDonald

We give an alternative proof of a result of Miyazaki and Yasuhara that there exists links that are not smoothly slice in $S^{2} \times S^{2}$ . We discuss potential applications to the…

math.GT2025

Splitting links by integer homology spheres

Marco Golla, Marco Marengon

For every $n \geq 3$ , we construct 2-component links in $S^{n + 1}$ that are a split by an integer homology $n$ -sphere, but not by $S^{n}$ . In the special case $n = 3$ , i.e. that of 2-lin…

math.GT2024

Smoothly slice links in $CP^{2} # CP^{2}$

Marco Marengon, Clayton McDonald

We show that there exists a link with 2 components which is not smoothly slice in $CP^{2} # CP^{2}$ . By contrast, it is well-known that every knot (i.e.,…

math.GT2024

Correction terms of double branched covers and symmetries of immersed curves

Jonathan Hanselman, Marco Marengon, Biji Wong

We use the immersed curves description of bordered Floer homology to study $d$ -invariants of double branched covers $I^£_{2} (L)$ of arborescent links $L \subset S^{3}$ . We define a new…

math.GT2024

Unknotting number 21 knots are slice in K3

Marco Marengon, Stefan MihajloviÄ

We prove that all knots with unknotting number at most 21 are smoothly slice in the K3 surface. We also prove a more general statement for 4-manifolds that contain a plumbing tree…

A note on smoothly slice links in S2×S2

Splitting links by integer homology spheres

Smoothly slice links in CP2#CP2

Correction terms of double branched covers and symmetries of immersed curves

Unknotting number 21 knots are slice in K3

A note on smoothly slice links in $S^{2} \times S^{2}$

Smoothly slice links in $CP^{2} # CP^{2}$