Now showing items 1-20 of 212

(2016)

(2016)
• #### A 3-manifold group which is not four dimensional linear ﻿

(2014-01-28)
• #### 3-manifolds everywhere ﻿

A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken to be quasi-isometrically embedded. This ...
• #### Abelian quotients of mapping class groups of highly connected manifolds ﻿

(2015-10-12)
© 2015, Springer-Verlag Berlin Heidelberg.We compute the abelianisations of the mapping class groups of the manifolds Wg2n=g(Sn×Sn) for n≥ 3 and g≥ 5. The answer is a direct sum of two parts. The first part arises from the ...
• #### Acylindrical Hyperbolicity, non-simplicity and SQ-universality of groups splitting over $\mathbb{Z}$ ﻿

(De Gruyter, 2016-09-15)
We show, using acylindrical hyperbolicity, that a finitely generated group splitting over $\mathbb{Z}$ cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers ...
• #### Adaptation in log-concave density estimation ﻿

The log-concave maximum likelihood estimator of a density on the real line based on a sample of size n is known to attain the minimax optimal rate of convergence of O(n −4/5 ) with respect to, e.g., squared Hellinger ...
• #### The algebra of bounded linear operators on ℓp ⊕ ℓq has infinitely many closed ideals ﻿

We prove that in the reflexive range 1 < p < q < ∞, the algebra ℒ(ℓp⊕ℓq) of all bounded linear operators on ℓp⊕ℓq has infinitely many closed ideals. This solves a problem raised by A. Pietsch [Operator ideals, Math. Monogr. ...
• #### Algebraic boundaries of Hilbert's SOS cones ﻿

(2012-10-15)

• #### Balanced metrics on twisted Higgs bundles ﻿

(Springer, 2016)