{ "id": "2111.15038", "version": "v2", "published": "2021-11-30T00:31:27.000Z", "updated": "2022-04-01T15:13:30.000Z", "title": "$\\mathbb{C}$-Fuchsian subgroups of some non-arithmetic lattices", "authors": [ "Li-Jie Sun" ], "comment": "We added more details on the presentation of C-Fuchsian group", "categories": [ "math.GT" ], "abstract": "We give a general procedure to analyze the structure for certain $\\mathbb{C}$-Fuchsian subgroups of some non-arithmetic lattices. We will also show that their fundamental domains lie in a complex geodesic, a set homeomorphic to the unit disk.", "revisions": [ { "version": "v2", "updated": "2022-04-01T15:13:30.000Z" } ], "analyses": { "keywords": [ "non-arithmetic lattices", "fuchsian subgroups", "fundamental domains lie", "general procedure", "complex geodesic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }