-
作者：Rajan, CS
摘要：We show that a tensor product of irreducible, finite dimensional representations of a simple Lie algebra over a field of characteristic zero determines the individual constituents uniquely. This is analogous to the uniqueness of prime factorisation of natural numbers.
-
作者：Ozsváth, P; Szabó, Z
摘要：The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin(c) structure. Given a Heegaard splitting of Y = U-0 boolean ORSigma U-1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Sigma relative to certain totally real subspaces associated to U-0 and U-1.
-
作者：Erschler, A
摘要：In this paper we introduce a method for partial description of the Poisson boundary for a certain class of groups acting on a segment. As an application we find among the groups of subexponential growth those that admit nonconstant bounded harmonic functions with respect to some symmetric (infinitely supported) measure p of finite entropy H(p). This implies that the entropy h(p) of the corresponding random walk is (finite and) positive. As another application we exhibit certain discontinuity f...
-
作者：Nakajima, H
摘要：We consider a specialization of an untwisted quantum affine algebra of type ADE at a nonzero complex number, which may or may not be a root of unity. The Grothendieck ring of its finite dimensional representations has two bases, simple modules and standard modules. We identify entries of the transition matrix with special values of computable polynomials, similar to Kazhdan-Lusztig polynomials. At the same time we compute q-characters for all simple modules. The result is based on computations...
-
作者：Topping, P
摘要：We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a 'quantization estimate' which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.
-
作者：Poonen, B
摘要：Let X be a smooth quasiprojective subscheme of P-n of dimension M >= 0 over F-q. Then there exist homogeneous polynomials f over F-q for which the intersection of X and the hypersurface f = 0 is smooth. In fact, the set of such f has a positive density, equal to zeta x (m+ 1)(-1), where zeta(X) (s) = Z(X) (q(-s)) is the zeta function of X. An analogue for regular quasiprojective schemes over Z is proved, assuming the abc conjecture and another conjecture.
-
作者：Cano, F
-
作者：Langer, A
-
作者：Maillot, V; Roessler, D
摘要：We prove that the existence of an automorphism of finite order on a Q-variety X implies the existence of algebraic linear relations between the logarithm of certain periods of X and the logarithm of special values of the F-function. This implies that a slight variation of results by Anderson, Colmez and Gross on the periods of CM abelian varieties is valid for a larger class of CM motives. In particular, we prove a weak form of the period conjecture of Gross-Deligne [11, p. 205](1). Our proof ...
-
作者：Bray, HL; Neves, A
