Euler-Poincaré index theory on Banach manifolds
Existence and asymptotics for selfdual periodic vortices of topological-type
Gauge theory and calibrated geometry. I.
Ginzburg-Landau vortices : the static model
Global existence of the Yang-Mills flow in four dimensions.
Harmonic maps into singular spaces and -adic superrigidity for lattices in groups of rank one
Infinitely many solitary waves in three space dimensions
Instantony a topologie čtyřrozměrných variet
Large H-Surfaces Via the Mountain-Pass-Lemma.
Lusternik-Schnirelman Theory and Non-Linear Eigenvalue Problems.
Morse indices of Yang-Mills connections over the unit sphere
Non-minimal Yang-Mills fields and dynamics.
Non-topological condensates in self-dual Chern-Simons gauge theory
This note is concerned with the recent paper "Non-topological N-vortex condensates for the self-dual Chern-Simons theory" by M. Nolasco. Modifying her arguments and statements, we show that the existence of "non-topological" multi-vortex condensates follows when the number of prescribed vortex points is greater than or equal to 2.
O 19. a 20. Hilbertově problému
On minimal laminations of the torus
On self-dual pseudo-connections on some orbifolds.
On the energy of sections of trivializable sphere bundles.
On the Moser-Onofri and Prékopa-Leindler inequalities.
Using elementary convexity arguments involving the Legendre transformation and the Prékopa-Leindler inequality, we prove the sharp Moser-Onofri inequality, which says that1/16π ∫|∇φ|2 + 1/4π ∫ φ - log (1/4π ∫ eφ) ≥ 0for any funcion φ ∈ C∞(S2).
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Regularity of constraints and reduction in the Minkowski space Yang-Mills-Dirac theory