Inventiones mathematicae

最新文章

• Symbolic extensions and smooth dynamical systems AI翻译
  作者：Downarowicz, T; Newhouse, S
  作者单位：Wroclaw University of Science & Technology; Michigan State University
  摘要：Let f : X --> X be a homeomorphism of the compact metric space X. A symbolic extension of ( f, X) is a subshift on a finite alphabet ( g, Y) which has f as a topological factor. We show that a generic C-1 nonhyperbolic (i.e., non-Anosov) area preserving diffeomorphism of a compact surface has no symbolic extensions. For r > 1, we exhibit a residual subset R of an open set U of C-r diffeomorphisms of a compact surface such that if f is an element of R, then any possible symbolic extension has t...
• Bach-flat asymptotically locally Euclidean metrics AI翻译
  作者：Tian, G; Viaclovsky, J
  作者单位：Massachusetts Institute of Technology (MIT)
  摘要：We obtain a volume growth and curvature decay result for various classes of complete, noncompact Riemannian metrics in dimension 4; in particular our method applies to anti-self-dual or Kahler metrics with zero scalar curvature, and metrics with harmonic curvature. Similar results were obtained for Einstein metrics in [And89], [BKN89], [Tia90], but our analysis differs from the Einstein case in that (1) we consider more generally a fourth order system in the metric, and (2) we do not assume an...
• Weight-monodromy conjecture for p-adically uniformized varieties AI翻译
  作者：Ito, T
  作者单位：Kyoto University
  摘要：The aim of this paper is to prove the weight-monodromy conjecture (Deligne's conjecture on the purity of monodromy filtration) for varieties p-adically uniformized by the Drinfeld upper half spaces of any dimension. The ingredients of the proof are to prove a special case of the Hodge standard conjecture, and apply a positivity argument of Steenbrink, M. Saito to the weight spectral sequence of Rapoport-Zink. As an application, by combining our results with the results of Schneider-Stuhler, we...
• Multiplicative rule of Schubert classes AI翻译
  作者：Duan, HB
  作者单位：Chinese Academy of Sciences
  摘要：Let G be a compact connected Lie group and let H be the centralizer of a one-parameter subgroup in G. Combining the ideas of Bott-Samelson resolutions of Schubert varieties and the enumerative formula on a twisted product of 2 spheres obtained in [Du(2)], we obtain an explicit formula for multiplying Schubert classes in the flag manifold G / H.
• An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds, I AI翻译
  作者：Mabuchi, T
  作者单位：University of Osaka
• Extending Lipschitz functions via random metric partitions AI翻译
  作者：Lee, JR; Naor, A
  作者单位：University of California System; University of California Berkeley; Microsoft
• Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux AI翻译
  作者：Klainerman, S; Rodnianski, I
  作者单位：Princeton University
  摘要：One of the central difficulties of settling the L-2-bounded curvature conjecture for the Einstein-Vacuum equations is to be able to control the causal structure of spacetimes with such limited regularity. In this paper we show how to circumvent this difficulty by showing that the geometry of null hypersurfaces of Enstein-Vacuum spacetimes can be controlled in terms of initial data and the total curvature flux through the hypersurface.
• Einstein metrics and complex singularities AI翻译
  作者：Calderbank, DMJ; Singer, MA
  作者单位：University of Edinburgh
  摘要：This paper is concerned with the construction of special metrics on non-compact 4-manifolds which arise as resolutions of complex orbifold singularities. Our study is close in spirit to the construction of the hyperkahler gravitational instantons, but we focus on a different class of singularities. We show that any resolution X of an isolated cyclic quotient singularity admits a complete scalar-flat Kahler metric (which is hyperkahler if and only if K-X is trivial), and that if K-X is strictly...
• Tate cohomology and periodic localization of polynomial functors AI翻译
  作者：Kuhn, NJ
  作者单位：University of Virginia
  摘要：In this paper, we show that Goodwillie calculus, as applied to functors from stable homotopy to itself, interacts in striking ways with chromatic aspects of the stable category. Localized at a fixed prime p, let T(n) be the telescope of a v(n) self map of a finite S-module of type n. The Periodicity Theorem of Hopkins and Smith implies that the Bousfield localization functor associated to T(n)(*) is independent of choices. Goodwillie's general theory says that to any homotopy functor F from S-...
• On the existence of collisionless equivariant minimizers for the classical n-body problem AI翻译
  作者：Ferrario, DL; Terracini, S
  作者单位：Polytechnic University of Milan; University of Milano-Bicocca
  摘要：We show that the minimization of the Lagrangian action functional on suitable classes of symmetric loops yields collisionless periodic orbits of the n-body problem, provided that some simple conditions on the symmetry group are satisfied. More precisely, we give a fairly general condition on symmetry groups G of the loop space Lambda for the n-body problem (with potential of homogeneous degree -alpha, with alpha>0) which ensures that the restriction of the Lagrangian action A to the space Lamb...