Nogueira, João M.
Published in
Israel Journal of Mathematics

We show the existence of infinitely many knots where each exterior contains meridional essential surfaces of independently unbounded genus and number of boundary components. In particular, we construct examples of knot exteriors each of which has all possible compact orientable surfaces embedded as meridional essential surfaces. From these results,...

Baribaud, Claire M.
Published in
Israel Journal of Mathematics

We study the non-simple closed geodesics of the Riemann surfaces of signature (0, 3). In the aim of classifying them, we define one parameter: the number of strings. We show that for a given number of strings, a minimal geodesic exists; we then give its representation and its length which depends on the boundary geodesics.

Grandjean, Vincent
Published in
Israel Journal of Mathematics

We present a new proof of (a slight generalization of) recent results of Kurdyka and Paunescu, and of Rainer, which are multi-parameter versions of classical theorems of Rellich and Kato about the reduction in families of univariate deformations of normal operators over real or complex vector spaces of finite dimensions. Given a real analytic norma...

Gehrmann, Lennart
Published in
Israel Journal of Mathematics

We use modular symbols to construct p-adic L-functions for cohomological cuspidal automorphic representations on GL(2n), which admit a Shalika model. Our construction differs from former ones in that it systematically makes use of the representation theory of p-adic groups.

Leung, Denny H. Li, Lei Oikhberg, Timur Tursi, Mary Angelica
Published in
Israel Journal of Mathematics

We construct separable universal injective and projective lattices for the class of all separable Banach lattices.

Cordes, Matthew Hume, David
Published in
Israel Journal of Mathematics

We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts of the group; these are variations of the stable dimension constructions previously introduced by the authors. We prove that, given any finite collection of finitely generated groups H each of which either has finite stable dimension or is non-relat...

Blok, Rieuwert J. Hoffman, Corneliu G. Shpectorov, Sergey V.
Published in
Israel Journal of Mathematics

We classify all non-collapsing Curtis–Tits and Phan amalgams with 3- spherical diagram over all fields. In particular, we show that amalgams with spherical diagram are unique, a result required by the classification of finite simple groups. We give a simple condition on the amalgam which is necessary and sufficient for it to arise from a group of K...

Callegaro, Filippo Salvetti, Mario
Published in
Israel Journal of Mathematics

Homology of braid groups and Artin groups can be related to the study of spaces of curves. We completely calculate the integral homology of the family of smooth curves of genus g with one boundary component, that are double coverings of the disk ramified over n = 2g+1 points. The main part of such homology is described by the homology of the braid ...

Kalai, Gil Schulman, Leonard J.
Published in
Israel Journal of Mathematics

We consider multilinear Littlewood polynomials, polynomials in n variables in which a specified set of monomials U have ±1 coefficients, and all other coefficients are 0. We provide upper and lower bounds (which are close for U of degree below log n) on the minimum, over polynomials h consistent with U, of the maximum of |h| over ±1 assignments to ...

Lüders, Clara Marie Reiher, Christian
Published in
Israel Journal of Mathematics

An important question in extremal graph theory raised by Vera T. Sós asks to determine for a given integer t ≥ 3 and a given positive real number δ the asymptotically supremal edge density ft(δ) that an n-vertex graph can have provided it contains neither a complete graph Kt nor an independent set of size δn. Building upon recent work of Fox, Loh a...