A Rasmussen invariant for links in $\mathbb{RP}^3$

Ciprian Manolescu; Michael Willis

A Rasmussen invariant for links in $\mathbb{RP}^3$

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2301.09764 v3 pith:BNQK6SBV submitted 2023-01-24 math.GT math.QA

Ciprian Manolescu , Michael Willis This is my paper · ORCID

classification math.GTmath.QA

keywords mathbbconcordantlinksrasmussens-invariantanalogueapplicationasaeda-przytycki-sikora

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

Asaeda-Przytycki-Sikora, Manturov, and Gabrov\v{s}ek extended Khovanov homology to links in $\mathbb{RP}^3$. We construct a Lee-type deformation of their theory, and use it to define an analogue of Rasmussen's s-invariant in this setting. We show that the s-invariant gives constraints on the genera of link cobordisms in the cylinder $I \times \mathbb{RP}^3$. As an application, we give examples of freely 2-periodic knots in $S^3$ that are concordant but not standardly equivariantly concordant.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Link in $\mathbb{R}\mathbb{P}^3$ and the Topological Vertex
math-ph 2025-01 conditional novelty 6.0 of 10

First topological-vertex computations of colored unknot and Hopf link invariants in RP^3 yield power series with positive integer q-expansions, conjecturally the Poincare series of a new link homology.

Pith tools