2001

最新文章

• 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...
• Some remarks concerning mod-n K-theory AI翻译
  作者：Friedlander, EM; Walker, ME
  作者单位：Northwestern University; University of Nebraska System; University of Nebraska Lincoln
• Quantum Lefschetz hyperplane theorem AI翻译
  作者：Lee, YP
  作者单位：University of California System; University of California Los Angeles
  摘要：The mirror theorem is generalized to any smooth projective variety X. That is, a fundamental relation between the Gromov-Witten invariants of X and Gromov-Witten invariants of complete intersections Y in X is established.
• Pavings of simplexes, schemes of reglued graphs and compactification of PGLrn+1/PGLr (vol 136, pg 233, 1999) AI翻译
  作者：Lafforgue, L
  作者单位：Universite Paris Saclay