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Let Q(x, y) be a quadratic form with discriminant D 6= 0. We obtain non trivial upper bound estimates for the number of solutions of the congruence Q(x, y) ≡  (mod p), where p is a prime and x, y l...
We fill a lacuna in the literature by giving a version in dimension 1 of the Relative Hurewicz Theorem, and relate this to abelianisations of groupoids, covering spaces,covering morphisms of groupoids...
In this paper, we extend some problems from Arens regularity and module Arens regularity of Banach algebras to module actions.
Global and local Weyl modules for the untwisted multiloop Lie algebras were defined in [CFK] via homological properties. In this paper we extended the ideas to give a categorical definition of the Wey...
I give a simpler proof of the generalisation of Engel’s Theorem to Leibniz algebras.
We prove an analogue of Farb-Masur’s theorem that the lengthspectra metric on moduli space is “almost isometric” to a simple model V(S) which is induced by the cone metric over the complex of curves. ...
By a mathematical instanton of charge n, we understand a rank-2 algebraic vector bundle E on the 3-dimensional projective space P3 with Chern classes (1) c1(E) = 0, c2(E) = n, satisfying the vanishi...
We prove constructively that for any finite-dimensional commu-tative ring R and n  dim(R) + 2, the group En(R[X,X−1]) acts transitively on Umn(R[X,X−1]). In particular, we obtain that for...
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
We present the scalar moduli stabilization from the perspective of the real intrinsic geometry.
The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
Massive Hopfions     Massive Hopfions       2011/3/2
The Skyrme-Faddeev model is a (3 + 1)-dimensional model which has knotted,string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev model with an SO(3) symmetry breaking potential....
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface  with target Matr×n(C), where ...
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...

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