Add to ORKGAbstract. We introduce a functional that couples the nonlinear sigma model with a spinor field: L = M [|dφ|2 + (ψ,D/ψ)]. In two dimensions, it is confor-mally invariant. The critical points of this functional are called Dirac-harmonic maps. We study some geometric and analytic aspects of such maps, in particular a removable singularity theorem. 1
International audienceThe book aims to give an elementary and comprehensive introduction to Spin Geo...
Abstract. We study Dirac-harmonic maps from a Riemann surface to a sphere Sn. We show that a weakly ...
The main result of Chapter 1 is short time existence of the heat flow for Dirac-harmonic maps on clo...
We discuss a method to construct Dirac-harmonic maps developed by Jost et al. (J Geom Phys 59(11):15...
We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isom...
We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly in...
AbstractWe investigate the coupling of the minimal surface equation with a spinor of harmonic type. ...
In this dissertation we considered a nonlinear sigma model with gravitino field. This is a supersymm...
Abstract. In this paper, we derive gradient estimates for Dirac-harmonic maps from complete Riemanni...
Let $(M,g,\sigma)$ be a compact Riemannian spin manifold of dimension $m \ge 2,$ let $\mathbb S(...
A map between compact Riemannian manifolds is called harmonic if it is a critical point of the Diric...
We investigate spinor fields on phase-spaces. Under local frame-rotations they transform according t...
Abstract: We introduce a new topological sigma model, whose fields are bundle maps from the tangent ...
In this thesis we study the non-linear Dirac operator in dimension four and the associated generali...
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show ...
International audienceThe book aims to give an elementary and comprehensive introduction to Spin Geo...
Abstract. We study Dirac-harmonic maps from a Riemann surface to a sphere Sn. We show that a weakly ...
The main result of Chapter 1 is short time existence of the heat flow for Dirac-harmonic maps on clo...
We discuss a method to construct Dirac-harmonic maps developed by Jost et al. (J Geom Phys 59(11):15...
We derive conservation laws for Dirac-harmonic maps and their extensions to manifolds that have isom...
We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly in...
AbstractWe investigate the coupling of the minimal surface equation with a spinor of harmonic type. ...
In this dissertation we considered a nonlinear sigma model with gravitino field. This is a supersymm...
Abstract. In this paper, we derive gradient estimates for Dirac-harmonic maps from complete Riemanni...
Let $(M,g,\sigma)$ be a compact Riemannian spin manifold of dimension $m \ge 2,$ let $\mathbb S(...
A map between compact Riemannian manifolds is called harmonic if it is a critical point of the Diric...
We investigate spinor fields on phase-spaces. Under local frame-rotations they transform according t...
Abstract: We introduce a new topological sigma model, whose fields are bundle maps from the tangent ...
In this thesis we study the non-linear Dirac operator in dimension four and the associated generali...
We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show ...
International audienceThe book aims to give an elementary and comprehensive introduction to Spin Geo...
Abstract. We study Dirac-harmonic maps from a Riemann surface to a sphere Sn. We show that a weakly ...
The main result of Chapter 1 is short time existence of the heat flow for Dirac-harmonic maps on clo...
