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作者：Wemyss, Michael
作者单位：University of Glasgow
摘要：Suppose that is a minimal model of a complete local Gorenstein 3-fold, where the fibres of f are at most one dimensional, so by Van den Bergh (Duke Math J 122(3):423-455, 2004) there is a noncommutative ring derived equivalent to X. For any collection of curves above the origin, we show that this collection contracts to a point without contracting a divisor if and only if a certain factor of is finite dimensional, improving a result of Donovan and Wemyss (Contractions and deformations, http://...
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作者：Ginzburg, Viktor L.; Gurel, Basak Z.
作者单位：State University System of Florida; University of Central Florida; University of California System; University of California Santa Cruz
摘要：Themain theme of the paper is the dynamics of Hamiltonian diffeomorphisms of CPn with theminimal possible number of periodic points (equal to n + 1 by Arnold's conjecture), called here Hamiltonian pseudo-rotations. We prove several results on the dynamics of pseudo-rotations going beyond periodic orbits, using Floer theoretical methods. One of these results is the existence of invariant sets in arbitrarily small punctured neighborhoods of the fixed points, partially extending a theorem of Le C...
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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...
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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].
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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.
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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...
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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...
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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...
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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).
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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
