{
  "abstract": "In this paper, we provide an explicit correspondence between moduli spaces of parabolic logarithmic connections on the projective line with spectral type $(2^2,1^4,1^4)$ and $(3^2, 2^3, 1^6)$, and the spaces of initial conditions for difference Painlevé equations with symmetry of type $E^{(1)}_7$ and $E^{(1)}_8$, respectively. Furthermore, we realize the extended affine Weyl group symmetries of the space of initial conditions in terms of connections.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29698",
  "author_total": 1,
  "authors": [
    {
      "name": "Takafumi Matsumoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/17aty0hcex046.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29698",
  "fulltext_url": null,
  "id": "17aty0hcex046",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29698",
  "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.AG"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223214686",
  "pdf_url": "https://arxiv.org/pdf/2610.29698",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/17aty0hcex046.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.29698",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29698"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Moduli spaces of logarithmic connections associated with difference Painlevé equations of type $E^{(1)}_n$",
  "title_text": "Moduli spaces of logarithmic connections associated with difference Painlevé equations of type E^(1)_n",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/17aty0hcex046",
  "venue": "arXiv",
  "versions": []
}