Inventiones mathematicae

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• 4-MANIFOLD TOPOLOGY .2. DWYERS FILTRATION AND SURGERY KERNELS AI翻译
  作者：FREEDMAN, MH; TEICHNER, P
  作者单位：Johannes Gutenberg University of Mainz
  摘要：Even when the fundamental group is intractable (i.e. not ''good'') many interesting 4-dimensional surgery problems have topological solutions. We unify and extend the known examples and show how they compare to the (presumed) counterexamples by reference to Dwyer's filtration on second homology. The development brings together many basic results on the nilpotent theory of links. As a special case, a class of links only slightly smaller than ''homotopically trivial links'' is shown to have (fre...
• HARDY-LITTLEWOOD VARIETIES AND SEMISIMPLE GROUPS AI翻译
  作者：BOROVOI, M; RUDNICK, Z
  作者单位：Princeton University
  摘要：We are interested in counting integer and rational points in affine algebraic varieties, also under congruence conditions. We introduce the notions of a strongly Hardy-Littlewood variety and a relatively Hardy-Littlewood variety, in terms of counting rational points satisfying congruence conditions. The definition of a strongly Hardy-Littlewood variety is given in such a way that varieties for which the Hardy-Littlewood circle method is applicable are strongly Hardy-Littlewood. We prove that c...
• IRREDUCIBLE REPRESENTATIONS OF LIE-ALGEBRAS OF REDUCTIVE GROUPS AND THE KAC-WEISFEILER CONJECTURE AI翻译
  作者：PREMET, A
  作者单位：University of California System; University of California Riverside
  摘要：Let g be the Lie algebra of a connected reductive group G over an algebraically closed field of characteristic p > 0. Suppose that G((1)) is simply connected and p is good for the root system of G. If p = 2, suppose in addition that g admits a nondegenerate G-invariant trace form. Let V be an irreducible and faithful g-module with p-character chi is an element of g*. It is proved in the paper that dim V is divisible by p(1/2dim Omega(chi)) where Omega(chi) stands for the orbit of chi under the...
• 4-MANIFOLD TOPOLOGY .1. SUBEXPONENTIAL GROUPS AI翻译
  作者：FREEDMAN, MH; TEICHNER, P
  作者单位：Johannes Gutenberg University of Mainz
  摘要：The technical lemma underlying the 5-dimensional topological s-cobordism conjecture and the 4-dimensional topological surgery conjecture is a purely smooth category statement about locating pi(1)-null immersions of disks. These conjectures are theorems precisely for those fundamental groups (''good groups'') where the pi(1)-null disk lemma (NDL) holds. We expand the class of known good groups to all groups of subexponential growth and those that can be formed from these by a finite number of a...
• EISENSTEIN SERIES AND COHOMOLOGY OF ARITHMETIC GROUPS - THE GENERIC CASE AI翻译
  作者：SCHWERMER, J
• DISCRETE DECOMPOSABILITY OF THE RESTRICTION OF AQ(LAMBDA) WITH RESPECT TO REDUCTIVE SUBGROUPS AND ITS APPLICATIONS AI翻译
  作者：KOBAYASHI, T
  摘要：Let G' subset-of G be real reductive Lie groups and q a theta-stable parabolic subalgebra of Lie (G) x C. This paper offers a sufficient condition on (G, G', q) that the irreducible unitary representation A(q)BAR of G with non-zero continuous cohomology splits into a discrete sum of irreducible unitary representations of a subgroup G', each of finite multiplicity. As an application to purely analytic problems, new results on discrete series are also obtained for some pseudo-Riemannian (non-sym...
• EQUIVALENCE OF THE STRENGTHENED HANNA-NEUMANN CONJECTURE AND THE AMALGAMATED GRAPH CONJECTURE AI翻译
  作者：DICKS, W
  摘要：We show that Walter Neumann's strengthened form of Hanna Neumann's conjecture on the best possible upper bound for the rank of the intersection of two subgroups of a free group is equivalent to a conjecture on the best possible upper bound for the number of edges in a bipartite graph with a certain weak symmetry condition. We illustrate the usefulness of this equivalence by deriving relatively easily certain previously known results.
• RIGIDITY OF CIRCLE DOMAINS WHOSE BOUNDARY HAS SIGMA-FINITE LINEAR MEASURE AI翻译
  作者：HE, ZX; SCHRAMM, O
  作者单位：Weizmann Institute of Science
  摘要：Let Q be a circle domain in the Riemann sphere C whose boundary has sigma-finite linear measure. We show that OMEGA is rigid in the sense that any conformal homeomorphism of Q onto any other circle domain is equal to the restriction of a Mobius transformation. Previously, Kaufman and Bishop have independently found examples of non-rigid circle domains whose boundary is a Cantor set of (Hausdorff) dimension one.
• ON THE CONE STRUCTURE AT INFINITY OF RICCI FLAT MANIFOLDS WITH EUCLIDEAN VOLUME GROWTH AND QUADRATIC CURVATURE DECAY AI翻译
  作者：CHEEGER, J; TIAN, G
• ON THE MULTIPLIER OF A REPELLING FIXED-POINT AI翻译
  作者：GOLDBERG, LR
  作者单位：City University of New York (CUNY) System; Brooklyn College (CUNY)
  摘要：We estimate the multiplier lambda of a repelling fixed point with rational rotation number for a polynomial in one complex variable. We show that a canonical branch of the logarithm of lambda lies in a small disk tangent to the imaginary axis. The radius of the disk is determined by the degree of the polynomial, the rotation number of the fixed point and the escape rates and external arguments of the critical values.