arXiv Analytics

Sign in

arXiv:1905.12184 [math.GT]AbstractReferencesReviewsResources

Non-arithmetic hybrid lattices in $\mathrm{PU}(2,1)$

Joseph Wells

Published 2019-05-29Version 1

We explore hybrid subgroups of certain non-arithmetic lattices in $\mathrm{PU}(2,1)$. We show that all of Mostow's lattices are virtually hybrids; moreover, we show that some of these non-arithmetic lattices are hybrids of two non-commensurable arithmetic lattices in $\mathrm{PU}(1,1)$.

Related articles:
arXiv:2111.15038 [math.GT] (Published 2021-11-30, updated 2022-04-01)
$\mathbb{C}$-Fuchsian subgroups of some non-arithmetic lattices
arXiv:1802.05061 [math.GT] (Published 2018-02-14)
Non-arithmetic monodromy of higher hypergeometric functions
arXiv:2010.10725 [math.GT] (Published 2020-10-21)
Hyperbolic jigsaws and families of pseudomodular groups II