Marco Marengon

activity

20162026

most citedGenerators, relations, and homology for Ozsváth-Szabó's Kauffman-states algebras

2 citations · 5 across the 9 of their papers we have counts for

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Showing 2024 · math.GTShow all

4 papers · 2 filters

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 $Σ_{2} (L)$ of arborescent links $L \subset S^{3}$ . We define a new i…

math.GT2024

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

Spectra in Khovanov and knot Floer theories

Marco Marengon, Sucharit Sarkar, Andras Stipsicz

These notes provide an introduction to the stable homotopy types in Khovanov theory (due to Lipshitz-Sarkar) and in knot Floer theory (due to Manolescu-Sarkar). They were written f…

Correction terms of double branched covers and symmetries of immersed curves

Splitting links by integer homology spheres

Smoothly slice links in CP2#CP2

Spectra in Khovanov and knot Floer theories

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