Integral Gassman equivalence of algebraic and hyperbolic manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2077-2
Abstract: In this paper we construct arbitrarily large families of smooth projective varieties and closed Riemannian manifolds that share many algebraic and analytic invariants. For instance, every non-arithmetic, closed hyperbolic 3-manifold admits arbitrarily large collections of… read more here.
Keywords: integral gassman; hyperbolic manifolds; gassman equivalence; equivalence algebraic ... See more keywords
Construction of Acylindrical Hyperbolic 3-Manifolds with Quasifuchsian Boundary
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DOI: 10.1080/10586458.2020.1718566
Abstract: We construct a one (real) dimensional deformation of an acylindrical hyperbolic 3-manifold, compute some associated arithmetic invariants and exhibit the skinning map along the deformation locus. T... read more here.
Keywords: construction acylindrical; quasifuchsian boundary; hyperbolic; manifolds quasifuchsian ... See more keywords
Effective virtual and residual properties of some arithmetic hyperbolic 3–manifolds
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DOI: 10.1090/tran/8190
Abstract: We give an effective upper bound, for certain arithmetic hyperbolic 3-manifold groups obtained from a quadratic form construction, on the minimal index of a subgroup that embeds in a fixed 6-dimensional right-angled reflection group, stabilizing… read more here.
Keywords: effective virtual; hyperbolic manifolds; virtual residual; arithmetic hyperbolic ... See more keywords