Inventiones mathematicae

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• Elliptic spectra, the Witten genus and the theorem of the cube AI翻译
  作者：Ando, M; Hopkins, MJ; Strickland, NP
  作者单位：University of Illinois System; University of Illinois Urbana-Champaign; Massachusetts Institute of Technology (MIT); University of Sheffield
• Localization and universality of Poisson statistics for the multidimensional Anderson model at weak disorder AI翻译
  作者：Wang, WM
  作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：lWe prove Anderson localization with the mean-field Lyapunov exponent and Poisson statistics for eigenvalue spacing for the multi-dimensional Anderson model at weak disorder. These results are obtained by developing the supersymmetric formalism initiated in [W1] (see also [SjW]).
• Ricci curvature, minimal volumes, and Seiberg-Witten theory AI翻译
  作者：LeBrun, C
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：We derive new, sharp lower bounds for certain curvature functionals on the space of Riemannian metrics of a smooth compact 4-manifold with non-trivial Seiberg-Witten invariants. These allow one, for example, to exactly compute the infimum of the L-2-norm of Ricci curvature for any complex surface of general type. We are also able to show that the standard metric on any complex-hyperbolic 4-manifold minimizes volume among all metrics satisfying a point-wise lower bound on sectional curvature pl...
• Mappings of finite distortion: Monotonicity and continuity AI翻译
  作者：Iwaniec, T; Koskela, P; Onninen, J
  作者单位：Syracuse University; University of Jyvaskyla
• A new variational characterization of three-dimensional space forms AI翻译
  作者：Gursky, MJ; Viaclovsky, JA
  作者单位：Indiana University System; Indiana University Bloomington; Massachusetts Institute of Technology (MIT)
• Hurwitz numbers and intersections on moduli spaces of curves AI翻译
  作者：Ekedahl, T; Lando, S; Shapiro, M; Vainshtein, A
  作者单位：Stockholm University; Russian Academy of Sciences; Royal Institute of Technology; University of Haifa; University of Haifa
• Quiver varieties and tensor products AI翻译
  作者：Nakajima, H
  作者单位：Kyoto University
  摘要：In this article, we give geometric constructions of tensor products in various categories using quiver varieties. More precisely, we introduce a lagrangian subvariety (3) over tilde in a quiver variety. and show the following results: (1) The homology group of (3) over tilde is a representation of a symmetric Kac-Moody Lie algebra g, isomorphic to the tensor product V(lambda (1)) circle times (...)circle times V(lambda (N)) of integrable highest weight modules. (2) The set of irreducible compo...
• Construction of central elements in the affine Hecke algebra via nearby cycles AI翻译
  作者：Gaitsgory, D
  作者单位：Harvard University
• Continuous family of invariant subspaces for R-diagonal operators AI翻译
  作者：Sniady, P; Speicher, R
  作者单位：University of Wroclaw; Queens University - Canada
  摘要：We show that every R-diagonal operator x has a continuous family of invariant subspaces relative to the von Neumann algebra generated by x. This allows us to find the Brown measure of x and to find a new conceptual proof that Voiculescu's S-transform is multiplicative. Our considerations base on a new concept of R-diagonality with amalgamation, for which we give several equivalent characterizations.
• K-area, Hofer metric and geometry of conjugacy classes in Lie groups AI翻译
  作者：Entov, M
  作者单位：Weizmann Institute of Science; Tel Aviv University
  摘要：Given a closed symplectic manifold (M, omega) we introduce a certain quantity associated to a tuple of conjugacy classes in the universal cover of the group Ham (M, omega) by means of the Hofer metric on Ham (M, omega). We use pseudo-holomorpbic curves involved in the definition of the multiplicative structure on the Floer cohomology of a symplectic manifold (M, omega) to estimate this quantity in terms of actions of some periodic orbits of related Hamiltonian flows. As a corollary we get a ne...