2期

最新文章

• Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kahler deformation AI翻译
  作者：Hwang, JM; Mok, N
  作者单位：Seoul National University (SNU); University of Hong Kong
• Multiplicity-free Hamiltonian actions need not be Kahler AI翻译
  作者：Woodward, C
  作者单位：Harvard University
  摘要：Multiplicity-free actions are symplectic manifolds with a very high degree of symmetry. Delzant [2] showed that all compact multiplicity-free torus actions admit compatible Kahler structures, and are therefore toric varieties. In this note we show that Delzant's result does not generalize to the non-abelian case. Our examples are constructed by applying U(2)-equivariant symplectic surgery to the flag variety U(3)/T-3. We then show that these actions fail a criterion which Tolman [9] shows is n...
• Discrete decomposability of the restriction of Aq(λ) with respect to reductive subgroups - III. Restriction of Harish-Chandra modules and associated varieties AI翻译
  作者：Kobayashi, T
  作者单位：University of Tokyo
  摘要：Let H subset of G be real reductive Lie groups and pi an irreducible unitary representation of G. We introduce an algebraic formulation (discretely decomposable restriction) to single out the nice class of the branching problem (breaking symmetry in physics) in the sense that there is no continuous spectrum in the irreducible decomposition of the restriction pi/(H). This paper offers basic algebraic properties of discretely decomposable restrictions, especially for a reductive symmetric pair (...
• An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg AI翻译
  作者：Tian, YL; Zhang, WP
  作者单位：New York University; Nankai University
  摘要：We present a direct analytic approach to the Guillemin-Sternberg conjecture [GS] that 'geometric quantization commutes with symplectic reduction', which was proved recently by Meinrenken [M1], [M2] and Vergne [V1], [V2] et al. Besides providing a new proof of this conjecture, our methods also lead immediately to further extensions in various contexts.
• Examples of non-Kahler Hamiltonian torus actions AI翻译
  作者：Tolman, S
  作者单位：University of Illinois System; University of Illinois Urbana-Champaign
  摘要：An important question with a rich history is the extent to which the symplectic category is larger than the Kahler category. Many interesting examples of non-Kahler symplectic manifolds have been constructed [T] [M] [G]. However, sufficiently large symmetries can force a symplectic manifolds to be Kahler [D] [Kn]. In this paper, we solve several outstanding problems by constructing the first symplectic manifold with large non-trivial symmetries which does not admit an invariant Kahler structur...