Quotients of L-functions

L-cohomology of hyperkähler quotients

Jost and Zuo’s theorem (adapting an earlier idea of Gromov [7]) states that if the Kähler form ω on a complete Kähler manifold satisfies ω = dβ, where β is a one-form of linear growth, then the only L harmonic forms lie in the middle dimension. An application of the same argument shows further that if G is a connected Lie group of isometries on a complete Riemannian manifold generated by Killin...

Rings of Quotients of Rings of Functions

Idempotents in quotients and restrictions of Banach algebras of functions

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On the L-distortion of finite quotients of amenable groups

We study the Lp-distortion of finite quotients of amenable groups. In particular, for every 2 ≤ p < ∞, we prove that the `p-distortions of the groups C2 oCn and Cpn nCn are in Θ((log n)1/p), and that the `p-distortion of C2 n nA Z, where A is the matrix ( 2 1 1 1 ) is in Θ((log log n)1/p).

On the L-distorsion of finite quotients of amenable groups

We study the Lp-distorsion of finite quotients of amenable groups. In particular, for every 2 ≤ p < ∞ we prove that the lp-distorsions of the groups C2 ≀Cn and Cpn ⋉Cn are in Θ((log n) 1/p), and that the lp-distorsion of C2 n ⋉A Z, where A is the matrix (