{
  "abstract": "A web is a plane graph encoding an invariant vector in a tensor product of fundamental representations of a quantum group. A stranding of an $\\mathfrak{sl}_n$ web is a system of colored oriented curves recording one monomial of the vector it encodes. This article focuses on identifying and constructing leading term strandings, those recording the leading term of a web's vector with respect to a lexicographic order on monomials. We show that every open strand of a leading term stranding is clockwise, so the boundary data of such a stranding is recorded by a row-strict tableau. From a row-strict tableau, we construct a web with a prescribed leading term, and the resulting webs form a web basis. This non recursive construction recovers Fontaine's bases and produces others. For $\\mathfrak{sl}_3$ webs with no flat vertices, we identify a leading term stranding using the depths of the faces of the web. Finally, we ask whether any two strandings of a web are connected by a sequence of local moves called strand reversals. We answer this question affirmatively for $\\mathfrak{sl}_3$, extending a known result for closed webs to webs with boundary; in particular, a leading term stranding of any $\\mathfrak{sl}_3$ web is always reachable from an arbitrary stranding.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27425",
  "author_total": 10,
  "authors": [
    {
      "name": "Michael Bo"
    },
    {
      "name": "Madelyn Burns"
    },
    {
      "name": "Junyang Chen"
    },
    {
      "name": "Blaise Marsho"
    },
    {
      "name": "Jacob Martin"
    },
    {
      "name": "Jade Mawn"
    },
    {
      "name": "Bella Mohren"
    },
    {
      "name": "Heather M. Russell"
    },
    {
      "name": "Caitlin Sales"
    },
    {
      "name": "Lance Wong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/68d2p1x6zam8z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27425",
  "fulltext_url": null,
  "id": "68d2p1x6zam8z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27425",
  "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.CO"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7204564344",
  "pdf_url": "https://arxiv.org/pdf/2608.27425",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/68d2p1x6zam8z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2608.27425",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27425"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Leading term strandings for webs",
  "title_text": "Leading term strandings for webs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/68d2p1x6zam8z",
  "venue": "arXiv",
  "versions": []
}