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Mathematische annalen, ISSN 0025-5831, 01/2020, Volume 378, Issue 3-4, pp. 891 - 905
We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone S2×S2, namely any real Lagrangian torus in S2×S2 is Hamiltonian isotopic to the... 
Toruses
Journal Article
Mathematische annalen, ISSN 0025-5831, 01/2019, Volume 375, Issue 3, pp. 1231 - 1281
Consider the orbit of real points of a maximal Q-torus from identity coset on SL(N,R)/SL(N,Z), it naturally carries a possibly infinite Haar measure. We... 
Toruses
Journal Article
Journal of geometry, ISSN 1420-8997, 01/2020, Volume 111, Issue 1
We show that the extrinsic diameter of immersed flat tori in the 3-sphere is π under a certain topological condition for the projection of their asymptotic... 
Toruses
Journal Article
Beiträge zur Algebra und Geometrie, ISSN 2191-0383, 07/2019, Volume 61, Issue 1, pp. 187 - 188
If a graph 
Toruses
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 09/2015, Volume 201, Issue 3, pp. 909 - 924
We construct infinitely many families of monotone Lagrangian tori in R6, no two of which are related by Hamiltonian isotopies (or symplectomorphisms). These... 
Toruses
Journal Article
by Yu, Li
Science China. Mathematics, ISSN 1674-7283, 02/2019, Volume 62, Issue 2, pp. 391 - 410
We confirm the Halperin-Carlsson conjecture for free Zp-torus actions (p is a prime) on 2-dimensionalfinite CW-complexes and free Z2-torus actions on closed... 
Toruses
Journal Article
Mathematical notes (Rossiĭskaia akademiia nauk), ISSN 1067-9073, 01/2020, Volume 108, Issue 1-2, pp. 108 - 116
We construct a family of flat isotropic nonhomogeneous tori in and and find necessary and sufficient conditions for their Hamiltonian minimality. 
Toruses
Journal Article
Mitteilungen der DMV, ISSN 0947-4471, 10/2018, Volume 26, Issue 4, pp. 204 - 205
Journal Article
Ultrasound in obstetrics & gynecology, ISSN 0960-7692, 10/2019, Volume 54, Issue S1, pp. 428 - 428
Journal Article
Journal of knot theory and its ramifications, ISSN 0218-2165, 04/2013, Volume 22, Issue 5, p. 1392002
Journal Article
Communications in mathematical physics, ISSN 0010-3616, 01/2020, Volume 377, Issue 1, pp. 225 - 257
The elliptic genus of K3 is an index for the 14-BPS states of its σ-model. At the torus orbifold point there is an accidental degeneracy of such states. We... 
Perturbation theory | Toruses | Surfing
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 1/2017, Volume 207, Issue 1, pp. 345 - 387
In this article we provide a proof of the Iitaka $$C_{nm}$$ C n m conjecture for algebraic fiber spaces over tori. 
Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Toruses | Texts | Algebra | Formulas (mathematics) | Proving | Fibers
Journal Article
Communications in mathematical physics, ISSN 1432-0916, 11/2017, Volume 358, Issue 3, pp. 1041 - 1064
We study the quantization of Hitchin systems in terms of $${\beta}$$ β -deformations of generalized matrix models related to conformal blocks of Liouville... 
Quantum Physics | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Complex Systems | Physics | Toruses | Riemann surfaces | Gauge theory | Deformation | Liouville equations | Eigenvalues | Field theory | Hamiltonian functions
Journal Article
Physical review. D, ISSN 2470-0010, 08/2020, Volume 102, Issue 4, p. 1
We study Fayet-Iliopoulos (FI) terms of six-dimensional supersymmetric Abelian gauge theory compactified on a T2/Z2 orbifold. Such orbifold compactifications... 
Supersymmetry | Toruses | Gauge theory | Stabilization
Journal Article
Geometriae dedicata, ISSN 0046-5755, 01/2019, Volume 200, Issue 1, pp. 351 - 362
The homogeneous nearly Kähler structure on S3×S3 is the only known complete 6-dimensional strictly nearly Kähler structure which is invariant under the action... 
Toruses | Maps
Journal Article
The Astrophysical journal, ISSN 1538-4357, 09/2019, Volume 883, Issue 1, p. 110
Journal Article
AIAA Journal, ISSN 0001-1452, 04/2018, Volume 56, Issue 4, pp. 1679 - 1688
An investigation into the bistability of positively curved laminated composite slit tubes is presented, establishing a natural extension in this area that has... 
Engineering | Engineering, Aerospace | Technology | Science & Technology | Coils | Toruses | Energy conservation | Cross-sections | Braiding | Tubes | Ritz method | Curvature | Equilibrium | Cross sections | Bistability
Journal Article
Inventiones mathematicae, ISSN 1432-1297, 11/2017, Volume 212, Issue 1, pp. 213 - 295
We use a neck stretching argument for holomorphic curves to produce symplectic disks of small area and Maslov class with boundary on Lagrangian submanifolds of... 
Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Toruses | Disks | Obstructions | Mathematical analysis | Manifolds (mathematics)
Journal Article
Bollettino della Unione matematica italiana (2008), ISSN 1972-6724, 9/2019, Volume 12, Issue 3, pp. 363 - 424
In this paper we prove a KAM theorem in infinite dimension which treats the case of multiple eigenvalues (or frequencies) of finite order. More precisely, we... 
Mathematics, general | Mathematics | Toruses | Theorems | Parameters | Canonical forms | Wave equations | Eigenvalues | Perturbation | Hamiltonian functions | Eigen values
Journal Article
Inventiones mathematicae, ISSN 0020-9910, 2/2017, Volume 207, Issue 2, pp. 895 - 980
We study the quasi-periodic Schrödinger operator $$\begin{aligned} -\psi ''(x) + V(x) \psi (x) = E \psi (x), \quad x \in {\mathbb {R}}\end{aligned}$$ - ψ ′ ′ (... 
Mathematics, general | Mathematics | Physical Sciences | Science & Technology | Toruses | Operators | Approximation | Mathematical analysis | Multiscale analysis | Fourier analysis | Schroedinger equation | Estimates
Journal Article
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