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Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Hyperbolicity and identification of Berge knots of types VII and VIII
doubly primitive knot Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: T. Saito and M. Teragaito asked in their paper whether Berge knots of type VII, which can be situated on the fiber surface of the lefthand trefoil, are hyperbolic, and showed that some infin...
Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
Non-existence of non-topological solitons types of gauge field theories Minkowski space
2011/1/17
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...
Non-archimedean tame topology and stably dominated types
Non-archimedean tame topology stably dominated types
2010/11/26
Let V be a quasi-projective algebraic variety over a non-archimedean valued field. We introduce topological methods into the model theory of valued fields, define an analogue “V of the Berkovich analy...
