Geodesic
Hyperbolic homology 3–spheres from drum polyhedra
Díaz, Raquel1 ; Estévez, José L2
1 Deparmento de Álgebra, Geometría y Topología, Universidad Complutense, Madrid, Spain
2 Departamento de Matemáticas Fundamentales, Universidad Nacional de Educación a Distancia, Madrid, Spain
Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3543-3570

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We construct explicit families of hyperbolic homology spheres, by surgery on links with a large number of components or by surgery on knots. In both cases the original cusped manifolds are obtained from basic ideal polyhedra, which allows us to get further geometric properties, such as geometric convergence to ℍ3 and arbitrarily large Heegaard genus. In the same construction we also find a family of hyperbolic knots converging geometrically to ℍ3.

DOI : 10.2140/agt.2024.24.3543
Keywords: hyperbolic homology $3$–spheres, Heegaard genus

Díaz, Raquel 1 ; Estévez, José L 2

1 Deparmento de Álgebra, Geometría y Topología, Universidad Complutense, Madrid, Spain
2 Departamento de Matemáticas Fundamentales, Universidad Nacional de Educación a Distancia, Madrid, Spain 
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Díaz, Raquel; Estévez, José L. Hyperbolic homology 3–spheres from drum polyhedra. Algebraic and Geometric Topology, Tome 24 (2024) no. 6, pp. 3543-3570. doi: 10.2140/agt.2024.24.3543

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