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• irrationality of an infinite number of values for the zeta function with odd integers AI翻译
  作者：Ball, K; Rivoal, T
  作者单位：University of London; University College London; Universite de Caen Normandie
• On the moduli space of diffeomorphic algebraic surfaces AI翻译
  作者：Manetti, M
  作者单位：Sapienza University Rome
  摘要：In this paper we show that the number of deformation types of complex structures on a fixed smooth oriented four-manifold can be arbitrarily large. The examples that we consider in this paper are locally simple abelian covers of rational surfaces. The proof involves the algebraic description of rational blowdowns, classical Brill-Noether theory and deformation theory of normal flat abelian covers.
• Bounded geometry for Kleinian groups AI翻译
  作者：Minsky, YN
  作者单位：State University of New York (SUNY) System; Stony Brook University
  摘要：We show that a Kleinian surface group, or hyperbolic 3-manifold with a cusp-preserving homotopy-equivalence to a surface, has bounded geometry if and only if there is an upper bound on an associated collection of coefficients that depend only on its end invariants. Bounded geometry is a positive lower bound on the lengths of closed geodesics. When the Surface is a once-punctured torus, the coefficients coincide with the continued fraction coefficients associated to the ending laminations.
• 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...
• 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.
• On manifolds whose tangent bundle contains an ample subbundle AI翻译
  作者：Andreatta, M; Wisniewski, JA
  作者单位：University of Trento; University of Warsaw