[2210.06612] Strongly quasipositive links are concordant to infinitely many strongly quasipositive links Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Geometric Topology arXiv:2210.06612 (math) [Submitted on 12 Oct 2022 ( v1 ), last revised 29 Apr 2026 (this version, v2)] Title: Strongly quasipositive links are concordant to infinitely many strongly quasipositive links Authors: Paula Truöl View a PDF of the paper titled Strongly quasipositive links are concordant to infinitely many strongly quasipositive links, by Paula Tru\"ol View PDF HTML (experimental) Abstract: We show that every non-trivial strongly quasipositive link is smoothly concordant to infinitely many pairwise non-isotopic strongly quasipositive links. In contrast to our result, Baker conjectured that smoothly concordant strongly quasipositive fibered knots are isotopic. Our construction uses a satellite operation whose companion is a slice knot with maximal Thurston-Bennequin number -1. Comments: V2: 14 pages, 5 figures, comments welcome! Corresponds to version accepted for publication in Proc. Amer. Math. Soc Subjects: Geometric Topology (math.GT) MSC classes: 57K10 (Primary) 20F36 (Secondary) Cite as: arXiv:2210.06612 [math.GT] (or arXiv:2210.06612v2 [math.GT] for this version) https://doi.org/10.48550/arXiv.2210.06612 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Paula Truöl [ view email ] [v1] Wed, 12 Oct 2022 22:36:37 UTC (76 KB) [v2] Wed, 29 Apr 2026 10:25:55 UTC (76 KB) Full-text links: Access Paper: View a PDF of the paper titled Strongly quasipositive links are concordant to infinitely many strongly quasipositive links, by Paula Tru\"ol View PDF HTML (experimental) TeX Source view license Current browse context: math.GT < prev | next > new | recent | 2022-10 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from