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Since locally closed functions with all point inverses closed have closed graphs [2], (c) implies

Differentiable vector bundles with anti-self-dual Yang-Mills con nections on a compact Riemannian manifold {X, g) of real dimension 4. The moduli space is

We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of a related negative Yang-Mills bar gradient flow..

The study of Yang-Mills-Higgs equations within the framework of the geomet- rical structure of ˜ S (2) (M )-bundle that contains the one-dimensional fibre as an internal deformed

The fact that the entwining maps which were presented in this Section preserve two invariants in separated variables, enable us to introduce appropriate potentials (as shown in [44,

The Goal of Hodge theaters: Roughly speaking, Hodge theater (at least, the ´ etale part) is a virtual “GMS” for an arbitrary elliptic curve over a number field which manages.. Θ

Indeed, general infinite-dimensional R-matrices are given by integral operators, but their reduction to a finite-dimensional invariant subspace in one of the tensor product

Theorem 2 If F is a compact oriented surface with boundary then the Yang- Mills measure of a skein corresponding to a blackboard framed colored link can be computed using formula