Classification and nondegeneracy of SU(n+1) Toda system with singular sources
CS Lin, J Wei, D Ye - Inventiones mathematicae, 2012 - Springer
We consider the following Toda system where γ i>− 1, δ 0 is Dirac measure at 0, and the
coefficients a ij form the standard tri-diagonal Cartan matrix. In this paper,(i) we completely …
coefficients a ij form the standard tri-diagonal Cartan matrix. In this paper,(i) we completely …
Classification of blowup limits for SU (3) singular Toda systems
CS Lin, J Wei, L Zhang - Analysis & PDE, 2015 - msp.org
For singular SU (3) Toda systems, we prove that the limit of energy concentration is a finite
set. In addition, for fully bubbling solutions we use a Pohozaev identity to prove a uniform …
set. In addition, for fully bubbling solutions we use a Pohozaev identity to prove a uniform …
Classification of solutions of a Toda system in ℝ2
We consider solutions of the following (open) Toda system (Toda lattice) for SU (N+ 1) -
\frac12Δu_i=j=1^Na_ij?e^u_j???in?R^2\qquad(1.1), for i= 1, 2,…, where K=(a_ij)_N*N is the …
\frac12Δu_i=j=1^Na_ij?e^u_j???in?R^2\qquad(1.1), for i= 1, 2,…, where K=(a_ij)_N*N is the …
G2 geometry and integrable systems
D Baraglia - arXiv preprint arXiv:1002.1767, 2010 - arxiv.org
We study the Hitchin component in the space of representations of the fundamental group of
a Riemann surface into a split real simple Lie group in the rank 2 case. We prove that such …
a Riemann surface into a split real simple Lie group in the rank 2 case. We prove that such …
Geometric discretisation of the Toda system
A Doliwa - Physics Letters A, 1997 - Elsevier
Geometric discretisation of the Toda system Page 1 ELSEVIER 22 September 1997 Physics
Letters A 234 (1997) 187-192 PHYSICS LETTERS A Geometric discretisation of the Toda system …
Letters A 234 (1997) 187-192 PHYSICS LETTERS A Geometric discretisation of the Toda system …
Cyclic Higgs bundles and the affine Toda equations
D Baraglia - Geometriae Dedicata, 2015 - Springer
We introduce a class of Higgs bundles called cyclic which lie in the Hitchin component of
representations of a compact Riemann surface into the split real form of a simple Lie group …
representations of a compact Riemann surface into the split real form of a simple Lie group …
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates
On rank-2 Toda systems with arbitrary singularities: local mass and new estimates Page 63
ANALYSIS AND PDE Vol. 11, No. 4, 2018 dx. doi. org/10.2140/apde. 2018.11. 873 msp ON …
ANALYSIS AND PDE Vol. 11, No. 4, 2018 dx. doi. org/10.2140/apde. 2018.11. 873 msp ON …
Some geometrical aspects of the 2-dimensional Toda equations
J Bolton, LM Woodward - Geometry, topology and physics …, 1996 - degruyter.com
The Toda equations are a particularly interesting example of a completely integrable
Hamiltonian system and were initially studied in the 1-dimensional version in a dynamical …
Hamiltonian system and were initially studied in the 1-dimensional version in a dynamical …
Total masses of solutions to general Toda systems with singular sources
In this article we obtain total masses of solutions to the Toda system associated to a general
simple Lie algebra with singular sources at the origin. The determination of such total …
simple Lie algebra with singular sources at the origin. The determination of such total …
[HTML][HTML] ODE/IM correspondence and modified affine Toda field equations
K Ito, C Locke - Nuclear Physics B, 2014 - Elsevier
We study the two-dimensional affine Toda field equations for affine Lie algebra g ˆ modified
by a conformal transformation and the associated linear equations. In the conformal limit, the …
by a conformal transformation and the associated linear equations. In the conformal limit, the …