Results 71 to 80 of about 804 (189)
Abelian integrals and limit cycles
Journal of Differential Equations, 2006 This paper deals with perturbations of the Hamiltonian system \[ X_{(\overline{\lambda},\varepsilon)}: \left\{ \begin{matrix} \dot{x}=- \frac{\partial H}{\partial y}+\varepsilon f, \vspace{0.2cm} \\ \displaystyle \dot{y}= \frac{\partial H}{\partial x}+\varepsilon g, \end{matrix} \right.
Dumortier, Freddy, Roussarie, Robert
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Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
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Contact 4d Chern-Simons theory: generalities
Journal of High Energy PhysicsWe refine and generalize the results of [1], where evidence in favor of applying the non-Abelian localization method to handle the 4d Chern-Simons theory path integral formulation was presented.
David M. Schmidtt
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An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
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Chern-Simons-Antoniadis-Savvidy Forms and Non-Abelian Anomaly
Journal of Aceh Physics Society, 2019 Kuat medan tensor yang ditransformasikan secara homogen terhadap perluasan transformasi gauge memenuhi bentuk sifat invarian gauge. Analisa invarian gauge dalam bantuk integeralnya memperlihatkan hubungan dengan koordinat ruang-waktu yang menunjukan ...
Suhaivi Hamdan +2 more
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Low-overhead non-Clifford fault-tolerant circuits for all non-chiral abelian topological phases [PDF]
QuantumWe propose a family of explicit geometrically local circuits on a 2-dimensional planar grid of qudits, realizing any abelian non-chiral topological phase as an actively error-corrected fault-tolerant memory.
Andreas Bauer
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On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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ADHM and the 4d quantum Hall effect
Journal of High Energy Physics, 2018 Yang-Mills instantons are solitonic particles in d = 4 + 1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level.
Alec Barns-Graham +4 more
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Reconfigurable non-Abelian integrated photonics
Nature CommunicationsCurrent integrated photonics typically utilizes the dynamical phase associated resonant on-chip components, leading to bandwidth-limited devices with perturbation-sensitive performance. Multi-mode geometric phase matrix, arising from the non-Abelian holonomy which is a non-resonant and global effect, has been recently introduced to integrated photonics
Shijie Sun +5 more
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Redundant Picard–Fuchs System for Abelian Integrals
Journal of Differential Equations, 2001 We derive an explicit system of Picard-Fuchs differential equations satisfied by Abelian integrals of monomial forms and majorize its coefficients. A peculiar feature of this construction is that the system admitting such explicit majorants, appears only in dimension approximately two times greater than the standard Picard-Fuchs system.
Novikov, D., Yakovenko, S.
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