Results 41 to 50 of about 680 (193)

A relative Poincaré–Birkhoff theorem

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract A. Moreno and Otto van Koert proved a generalised version of the classical Poincaré–Birkhoff theorem, for Liouville domains of any dimension. In this article, we prove a relative version for Lagrangians with Legendrian boundary. This gives interior chords of arbitrary large length, provided that the twist condition introduced by Moreno and van
Agustin Moreno, Arthur Limoge
wiley   +1 more source

On monodromy representation of period integrals associated to an algebraic curve with bi-degree (2,2)

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We study a problem related to Kontsevich's homological mirror symmetry conjecture for the case of a generic curve Y with bi-degree (2,2) in a product of projective lines ℙ1 × ℙ1.
Tanabé Susumu
doaj   +1 more source

Rapidity distribution within the defocusing non-linear Schrödinger equation model

SciPost Physics Core, 2023
We consider the classical field integrable system whose evolution equation is the nonlinear Schrödinger equation with defocusing non-linearities, which is the classical limit of the quantum Lieb-Liniger model.
Yasser Bezzaz, Léa Dubois, Isabelle Bouchoule
doaj   +1 more source

Generalised spin Calogero–Moser systems from Cherednik algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Integrable spin Calogero–Moser type systems with non‐symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.
Misha Feigin, Mikhail Vasilev, Martin Vrabec   +2 more
wiley   +1 more source

Multiple actions of the monodromy matrix in $gl(2|1)$-invariant integrable models

, 2016
International audienceWe study $\mathfrak{gl}(2|1)$ symmetric integrable models solvable by thenested algebraic Bethe ansatz. Using explicit formulas for the Bethe vectors wederive the actions of the monodromy matrix entries onto these vectors.
Ragoucy, E., Pakuliak, S.Z., Liashyk, A., Pakuliak, S. Z., Slavnov, N.A., Hutsalyuk, A., Slavnov, N. A.   +6 more
core   +1 more source

Calculating periodic vibrations of nonlinear autonomous multi-degree-of-freedom systems by the incremental harmonic balance method

Vietnam Journal of Mechanics, 2004
In this paper the incremental harmonic balance method is used to calculate periodic vibrations of nonlinear autonomous multip-degree-of-freedom systems.
Nguyen Van Khang, Thai Manh Cau
doaj   +1 more source

Type II degenerations of K3 surfaces of degree 4

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley   +1 more source

Description of non-spherical black holes in 5D Einstein gravity via the Riemann-Hilbert problem

Journal of High Energy Physics
We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in 5D vacuum Einstein theory.
Jun-ichi Sakamoto, Shinya Tomizawa
doaj   +1 more source

Isotopy and equivalence of knots in 3‐manifolds

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto, Corey Bregman, Christopher W. Davis, JungHwan Park, Arunima Ray   +4 more
wiley   +1 more source

On the generalization of Inoue manifolds

Pracì Mìžnarodnogo Geometričnogo Centru, 2020
This paper is about a generalization of celebrated Inoue's surfaces. To each matrix M in SL(2n+1,ℤ) we associate a complex non-Kähler manifold TM of complex dimension n+1. This manifold fibers over S1 with the fiber T2n+1 and monodromy MT.
Andrei Pajitnov, Endo Hisaaki
doaj   +1 more source