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Displaying 101 – 116 of 116

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

Let $(M, ω)$ be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection $\nabla$ . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one may easily...

The gradient flow of Higgs pairs

Jiayu Li, Xi Zhang (2011)

Journal of the European Mathematical Society

We consider the gradient flow of the Yang–Mills–Higgs functional of Higgs pairs on a Hermitian vector bundle $(E, H_{0})$ over a Kähler surface $(M, ω)$ , and study the asymptotic behavior of the heat flow for Higgs pairs at infinity. The main result is that the gradient flow with initial condition $(A_{0}, φ_{0})$ converges, in an appropriate sense which takes into account bubbling phenomena, to a critical point $(A_{\infty}, φ_{\infty})$ of this functional. We also prove that the limiting Higgs pair $(A_{\infty}, φ_{\infty})$ can be extended smoothly to a vector bundle $E_{\infty}$ over...

The $L^{2}$ metric in gauge theory: an introduction and some applications

David Groisser (1997)

Banach Center Publications

We discuss the geometry of the Yang-Mills configuration spaces and moduli spaces with respect to the $L^{2}$ metric. We also consider an application to a de Rham-theoretic version of Donaldson’s μ-map.

The relation between the associate almost complex structure to $H M^{'}$ and $(H M^{'}, S, T)$ -Cartan connections.

Esrafilian, Ebrahim, Salimi Moghaddam, Hamid Reza (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

The Schouten-van Kampen Affine Connections Adapted to Almost (Para)Contact Metric Structures

Zbigniew Olszak (2013)

Publications de l'Institut Mathématique

The singularities of Yang-Mills connections for bundles on a surface.

Johannes Huebschmann (1996)

Mathematische Zeitschrift

The singularity structureοf the Yang-Mills configuration space

Jürgen Fuchs (1997)

Banach Center Publications

The geometric description of Yang–Mills theories and their configuration space $ℳ$ is reviewed. The presence of singularities in M is explained and some of their properties are described. The singularity structure is analysed in detail for structure group SU(2). This review is based on [28].