{
  "abstract": "We construct a multi-filtered smooth knot concordance invariant, $β(t^1, a, t^2)$, derived from the knot Floer complex $CFK^\\infty$. $β$ is a three-variable piecewise linear function defined on $(0,2) \\times \\mathbb{R} \\times (0,2)$. We demonstrate that $β$ satisfies a subadditivity relation. We apply $β$ to prove concordance results for a certain family of L-space knots. We show that the positive cones spanned by Teragaito's knots $K_{1,n}$ and $K_{2,n}$ are disjoint in the smooth concordance group $\\mathcal{C}$. For positive L-space knots, we show $β$ completely determines the Alexander polynomial and distinguishes knots with identical $Υ$ invariants.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30425",
  "author_total": 1,
  "authors": [
    {
      "name": "Kashti Satish Umare"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fsq02z4x42s0w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30425",
  "fulltext_url": null,
  "id": "fsq02z4x42s0w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30425",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214589514",
  "pdf_url": "https://arxiv.org/pdf/2609.30425",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fsq02z4x42s0w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30425",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30425"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Concordance Invariant For Knots from $CFK^\\infty$",
  "title_text": "A Concordance Invariant For Knots from CFK^∞",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/fsq02z4x42s0w",
  "venue": "arXiv",
  "versions": []
}