Artin presentations, triangle groups, and 4-manifolds
نویسندگان
چکیده
González-Acuña showed that Artin presentations characterize closed, orientable 3-manifold groups. Winkelnkemper later discovered each presentation determines a smooth, compact, simply connected 4-manifold. We utilize triangle groups to find all on two generators present the trivial group. then determine 4-manifolds with second betti number at most appear in theory.
منابع مشابه
Artin groups, rewriting systems and three-manifolds
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ژورنال
عنوان ژورنال: Boletin De La Sociedad Matematica Mexicana
سال: 2022
ISSN: ['2296-4495', '1405-213X']
DOI: https://doi.org/10.1007/s40590-022-00423-w