Obstruction to Equivariant Ribbon Concordance

Siavash Jafarizadeh

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arXiv · 2509.00671

Obstruction to Equivariant Ribbon Concordance

Siavash Jafarizadeh

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Abstract

A periodic link, is link in $S^3$ with action of $\mathbb{Z}_p$ by rotation with $2\pi/p$ around a fixed unknot $U$. The equivariant Khovanov homology of periodic links has been studied in \cite{BP17}. We prove that the equivariant Khovanov homology for periodic links is functorial under equivariant cobordisms. Furthere more, we show that equivariant ribbon concordances induce a split injection on equivariant Khovanov homology.

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Siavash Jafarizadeh. 2025-08-31. Obstruction to Equivariant Ribbon Concordance. https://arxiv.org/abs/2509.00671

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