Braids, hypergeometric functions, and lattices

DOI10.1090/S0273-0979-1987-15510-8zbMath0639.22005OpenAlexW1963989598MaRDI QIDQ3781283

G. Daniel Mostow

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1987-15510-8

zbMATH Keywords

braid groupsmonodromy groupsnonarithmetic latticesirreducible lattices in semisimple Lie groupslattices generated by reflectionsmonodromy of hypergeometric functions

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Braid groups; Artin groups (20F36) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (16)

Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems ⋮ Monodromy for the hypergeometric function \(_ nF_{n-1}\) ⋮ On the topological phases in a planar N-point vortex system ⋮ Complex hyperbolic orbifolds and hybrid lattices ⋮ Braid groups and Hodge theory ⋮ Unitary braid group representations ⋮ On the first Betti numbers of hyperbolic surfaces ⋮ Hamiltonian monodromy via geometric quantization and theta functions ⋮ A negatively curved Kähler threefold not covered by the ball ⋮ Volumes of 3-ball quotients as intersection numbers ⋮ Volumes of Picard modular surfaces ⋮ Generalized Picard lattices arising from half-integral conditions ⋮ ON SOME SYMPLECTIC ASPECTS OF KNOT FRAMINGS ⋮ Reflection groups in algebraic geometry ⋮ ON UNCERTAINTY, BRAIDING AND ENTANGLEMENT IN GEOMETRIC QUANTUM MECHANICS ⋮ Monodromy Groups and Bilinear Monodromy Invariant Combinations of Generalized Hypergeometric Type Integrals

Cites Work

• Density properties for certain subgroups of semi-simple groups without compact components
• On a remarkable class of polyhedra in complex hyperbolic space
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Existence of nonarithmetic monodromy groups
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Braids, hypergeometric functions, and lattices