{
  "abstract": "Thirty years ago in ``On the Maslov Index'' the present authors with their late collaborator Prof. Ronnie Lee of Yale University presented an axiomatization of the Maslov index, an integer-valued invariant of continuous, piecewise smooth paths of pairs of Lagrangians. Four distinct methods of definition of such Maslov indicies were given; each satisfying the axioms. Here two more are offered and comparisons are made to the recent work of Her and Zhong defining an invariant of a path of symplectic matrices motivated by earlier work of Lidskii and Gelfand, Salomon and Zehnder.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03061",
  "author_total": 2,
  "authors": [
    {
      "name": "Sylvain E. Cappell"
    },
    {
      "name": "Edward Y. Miller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6p9cwdczgcp9j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03061",
  "fulltext_url": null,
  "id": "6p9cwdczgcp9j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03061",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7208704399",
  "pdf_url": "https://arxiv.org/pdf/2609.03061",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6p9cwdczgcp9j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:36Z",
      "native_id": "2609.03061",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03061"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Maslov Indicies In Symplectic Geometry Revisited",
  "title_text": "Maslov Indicies In Symplectic Geometry Revisited",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:36Z",
  "url": "https://research.draconitic.com/paper/6p9cwdczgcp9j",
  "venue": "arXiv",
  "versions": []
}