4,176 research outputs found
Homotopy, monopoles and 't Hooft tensor in QCD with generic gauge group
We study monopoles and corresponding 't Hooft tensor in QCD with a generic
compact gauge group. This issue is relevant to the understanding of color
confinement in terms of dual symmetry.Comment: 15 pages. Accepted for publication in JHE
The signature of geometrically decomposable aspherical 4-manifolds
We construct examples of geometrically decomposable aspherical 4-manifolds
with non-zero signature. We show that all such 4-manifolds satisfy the
inequality (of Bogomolov--Miyaoka--Yau type) . We also
construct examples attaining the equality that are non-geometric and have
non-zero signature. Finally, we prove that for higher graph 4-manifolds, with
complex-hyperbolic vertices, the strict inequality always holds. Moreover, we
construct infinitely many examples of higher graph 4-manifolds with non-zero
signature and prove that the inequality is strict and sharp in this class.Comment: 17 pages, 1 figure. Comments are welcome
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