作者:Chinburg, T; Erez, B; Pappas, G; Taylor, MJ
作者:Goldman, WM
摘要:Let M be a compact surface with chi(M) < 0 and let G be a compact Lie group whose Levi factor is a product of groups locally isomorphic to SU(2) (for example SU(2) itself). Then the mapping class group Gamma(M) of M acts on the moduli space X(M) of flat G-bundles over M (possibly twisted by a fixed central element of G). When M is closed, then Gamma(M) preserves a symplectic structure on X(M) which has finite total volume on M. More generally, the subspase of X(nl) corresponding to flat bundle...
作者:Chen, WX; Li, CM
摘要:We obtain a priori estimates for solutions to the prescribing scalar curvature equation [GRAPHICS] on S-n for n greater than or equal to 3. There have been a series of results in this respect. To obtain a priori estimates people required that the function R(x) be positive and bounded away from 0. This technical assumption has been used by many authors for quite a few years. It is due to the fact that the standard blowing-up analysis fails near R(x) = 0. The main objective of this paper is to r...
作者:Heckman, GJ; Opdam, EM
摘要:The graded Hecke algebra has a simple realization as a certain algebra of operators acting on a space of smooth functions. This operator algebra arises from the study of the root system analogue of Yang's system of n particles on the real line with delta function potential. It turns out that the spectral problem for this generalization of Yang's system is related to the problem of finding the spherical tempered representations of the graded Hecke algebra. This observation turns out to be very ...