Nonarithmetic hyperbolic manifolds and trace rings
| Autor: | Olivier Mila |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Trace (linear algebra) trace rings 53C23 01 natural sciences Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics 0101 mathematics Mathematics::Symplectic Geometry 22E40 Mathematics 010102 general mathematics nonarithmetic lattice Hyperbolic manifold hyperbolic manifold Geometric Topology (math.GT) 57M50 Hyperplane 20G30 Pairwise comparison 010307 mathematical physics Geometry and Topology Mathematics::Differential Geometry 51M25 Volume (compression) |
| Zdroj: | Algebr. Geom. Topol. 18, no. 7 (2018), 4359-4373 |
| Popis: | We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely many examples of such manifolds that are pairwise non-commensurable and estimate their volume. 10 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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