Inventiones mathematicae

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• The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation AI翻译
  作者：Guan, PF; Ma, XN
  作者单位：McMaster University; East China Normal University
• Subharmonic variation of the leafwise Poincare metric AI翻译
  作者：Brunella, M
  作者单位：Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Bourgogne Europe
• Compact hyperkahler manifolds: basic results (vol 135, pg 63, 1999) AI翻译
  作者：Huybrechts, D
  作者单位：Universite Paris Cite
• On the structure of the Selberg class, V: 1 < d < 5/3 AI翻译
  作者：Kaczorowski, J; Perelli, A
  作者单位：Adam Mickiewicz University
• Uniform distribution of Heegner points AI翻译
  作者：Vatsal, V
  作者单位：University of British Columbia
• Bouquet and join theorems for disentanglements AI翻译
  作者：Houston, K
  作者单位：University of Leeds
  摘要：The disentanglement of certain augmentations is shown to be the topological join of a disentanglement and a Milnor fibre. The kth disentan glement of a finite map is defined and for corank 1 maps from C-n to Cn+1 it is shown that they are homotopically equivalent to a wedge of spheres. Applications to the Mond conjecture are given.
• The second twisted Betti number and the convergence of collapsing Riemannian manifolds AI翻译
  作者：Fang, FQ; Rong, XC
  作者单位：Nankai University; Beijing Normal University; Rutgers University System; Rutgers University New Brunswick
  摘要：Let M-i -->(dGH) X denote a sequence of n-manifolds converging to a compact metric space, X, in the Gromov-Hausdorff topology such that the sectional curvature is bounded in absolute value and dim(X) < n. We prove the following stability result: If the fundamental groups of M-i are torsion groups of uniformly bounded exponents and the second twisted Betti numbers of M-i vanish, then there is a manifold, M, and a sequence of diffeomorphisms from M to a subsequence of {M-i} such that the distanc...
• The relation between the Baum-Connes Conjecture and the Trace Conjecture AI翻译
  作者：Lück, W
  作者单位：University of Munster
  摘要：We prove a version of the L-2-index Theorem of Atiyah, which uses the universal center-valued trace instead of the standard trace. We construct for G-equivariant K-homology an equivariant Chem character, which is an isomorphism and lives over the ring Z subset of Lambda(G) subset of Q obtained from the integers by inverting the orders of all finite subgroups of G. We use these two results to show that the Baum-Connes Conjecture implies the modified Trace Conjecture, which says that the image o...
• Manifolds with positive sectional curvature almost everywhere AI翻译
  作者：Wilking, B
  作者单位：University of Pennsylvania
• Generalized Kneser coloring theorems with combinatorial proofs AI翻译
  作者：Ziegler, GM
  作者单位：Technical University of Berlin
  摘要：The Kneser conjecture (1955) was proved by Lovasz (1978) using the Borsuk-Ulam theorem; all subsequent proofs, extensions and generalizations also relied on Algebraic Topology results, namely the Borsuk-Ulam theorem and its extensions. Only in 2000, Matousek provided the first combinatorial proof of the Kneser conjecture. Here we provide a hypergraph coloring theorem, with a combinatorial proof, which has as special cases the Kneser conjecture as well as its extensions and generalization by (h...