2018

最新文章

• Inelasticity of soliton collisions for the 5D energy critical wave equation AI翻译
  作者：Martel, Yvan; Merle, Frank
  作者单位：Centre National de la Recherche Scientifique (CNRS); Universite Paris Saclay; Institut Polytechnique de Paris; Ecole Polytechnique; CY Cergy Paris Universite; Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS)
  摘要：For the focusing energy critical wave equation in 5D, we construct a solution showing the inelastic nature of the collision of two solitons for any choice of sign, speed, scaling and translation parameters, except the special case of two solitons of same scaling and opposite signs. Beyond its own interest as one of the first rigorous studies of the collision of solitons for a non-integrable model, the case of the quartic gKdV equation being partially treated in Martel and Merle (Ann Math 174(2...
• New obstructions to symplectic embeddings (vol 196, pg 383, 2014) AI翻译
  作者：Hind, R.; Kerman, E.
  作者单位：University of Notre Dame; University of Illinois System; University of Illinois Urbana-Champaign
  摘要：We correct here an error in the proof of Theorem 1.1 of our paper New obstructions to symplectic embeddings, henceforth referred to as [6].
• Singular foliations with trivial canonical class AI翻译
  作者：Loray, Frank; Pereira, Jorge Vitorio; Touzet, Frederic
  作者单位：Universite de Rennes; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
  摘要：This paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.
• Forcing theory for transverse trajectories of surface homeomorphisms AI翻译
  作者：Le Calvez, P.; Tal, F. A.
  作者单位：Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Sorbonne Universite; Universidade de Sao Paulo
  摘要：This paper studies homeomorphisms of surfaces isotopic to the identity by means of purely topological methods and Brouwer theory. The main development is a novel theory of orbit forcing using maximal isotopies and transverse foliations. This allows us to derive new proofs for some known results as well as some new applications, among which we note the following: we extend Franks and Handel's classification of zero entropy maps of for non-wandering homeomorphisms; we show that if f is a Hamilto...
• Adams filtration and generalized Hurewicz maps for infinite loopspaces AI翻译
  作者：Kuhn, Nicholas J.
  作者单位：University of Virginia
  摘要：We study the Hurewicz map is the generalized homology theory associated to a connective commutative S-algebra R. We prove that the decreasing filtration of the domain associated to an R-based Adams resolution is compatible with a filtration of the range associated to the augmentation ideal filtration of the augmented commutative S-algebra. The proof of our main theorem makes much use of composition properties of this filtration and its interaction with Topological Andre-Quillen homology. An ap...
• Sharp systolic inequalities for Reeb flows on the three-sphere AI翻译
  作者：Abbondandolo, Alberto; Bramham, Barney; Hryniewicz, Umberto L.; Salomao, Pedro A. S.
  作者单位：Ruhr University Bochum; Universidade Federal do Rio de Janeiro; Universidade de Sao Paulo
  摘要：The systolic ratio of a contact form on the three-sphere is the quantity rho(sys)(alpha) = T-min(alpha)(2)/vol(S-3, alpha boolean AND d alpha), where is the minimal period of closed Reeb orbits on . A Zoll contact form is a contact form such that all the orbits of the corresponding Reeb flow are closed and have the same period. Our first main result is that in a neighbourhood of the space of Zoll contact forms on , with equality holding precisely at Zoll contact forms. This implies a particula...
• Converse theorems and the local Langlands correspondence in families AI翻译
  作者：Helm, David; Moss, Gilbert
  作者单位：Imperial College London
  摘要：We prove a descent criterion for certain families of smooth representations of modules (the so-called integral Bernstein center) in terms of Galois theory and the local Langlands correspondence. An immediate consequence is the conjectural local Langlands correspondence in families of Emerton and Helm (Ann Sci Ec Norm Super (4) 47(4):655-722, 2014).
• Corrigendum to Neron models, Lie algebras, and reduction of curves of genus one and The Brauer group of a surface AI翻译
  作者：Liu, Qing; Lorenzini, Dino; Raynaud, Michel
  作者单位：Centre National de la Recherche Scientifique (CNRS); Inria; Universite de Bordeaux; CNRS - National Institute for Mathematical Sciences (INSMI); University System of Georgia; University of Georgia; Universite Paris Saclay
• Gopakumar-Vafa invariants via vanishing cycles AI翻译
  作者：Maulik, Davesh; Toda, Yukinobu
  作者单位：Massachusetts Institute of Technology (MIT); University of Tokyo
  摘要：In this paper, we propose an ansatz for defining Gopakumar-Vafa invariants of Calabi-Yau threefolds, using perverse sheaves of vanishing cycles. Our proposal is a modification of a recent approach of Kiem-Li, which is itself based on earlier ideas of Hosono-Saito-Takahashi. We conjecture that these invariants are equivalent to other curve-counting theories such as Gromov-Witten theory and Pandharipande-Thomas theory. Our main theorem is that, for local surfaces, our invariants agree with PT in...
• A counterexample to the Arnold conjecture AI翻译
  作者：Buhovsky, Lev; Humiliere, Vincent; Seyfaddini, Sobhan
  作者单位：Tel Aviv University; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite
  摘要：The Arnold conjecture states that a Hamiltonian diffeomorphism of a closed and connected symplectic manifold must have at least as many fixed points as the minimal number of critical points of a smooth function on M. It is well known that the Arnold conjecture holds for Hamiltonian homeomorphisms of closed symplectic surfaces. The goal of this paper is to provide a counterexample to the Arnold conjecture for Hamiltonian homeomorphisms in dimensions four and higher. More precisely, we prove tha...