Connections with prescribed curvature and Yang-Mills currents : the semi-simple case
Curvature of hyperkähler quotients
We prove estimates for the sectional curvature of hyperkähler quotients and give applications to moduli spaces of solutions to Nahm’s equations and Hitchin’s equations.
Derivations of the Moyal algebra and noncommutative gauge theories.
Dimensions of Prym varieties.
Discrete approaches to quantum gravity in four dimensions.
Einstein-Yang Mills equations for gauge transformations of second order.
Energy machineries on a manifold; application to the construction of new energy representations of Gauge groups.
The introduction of the concepts of energy machinery and energy structure on a manifold makes it possible a large class of energy representations of gauge groups including, as a very particular case, the ones known up to now. By using an adaptation of methods initiated by I. M. Gelfand, we provide a sufficient condition for the irreducibility of these representations.
Equivariant Cohomology and Topological Theories
Erratum: J. Eur. Math. Soc. 1, 237-311 (1999)
Erratum to “Curvature of hyperkähler quotients”
The original version of the article was published in Central European Journal of Mathematics, 2008, 6(2), 191–203, DOI: 10.2478/s11533-008-0026-8. Unfortunately, the original version of this article contains a mistake, which we correct here.
Existence and asymptotics for selfdual periodic vortices of topological-type
Extended soliton solutions in an effective action for Yang-Mills theory.
Exterior differential systems for Yang-Mills theories.
Gauge symmetries of an extended phase space for Yang-Mills and Dirac fields
Gauge theories on deformed spaces.
Gauge theory and calibrated geometry. I.
Generalized Chern-Simons theory and skein relations in arbitrary dimensions
Generalized Potts-models and their relevance for gauge theories.
Geometrical and topological foundations of theoretical physics: from gauge theories to string program.
Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields