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作者:Kaczorowski, J; Perelli, A
作者单位:Adam Mickiewicz University
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作者:Houston, K
作者单位:University of Leeds
摘要:The disentanglement of certain augmentations is shown to be the topological join of a disentanglement and a Milnor fibre. The kth disentan glement of a finite map is defined and for corank 1 maps from C-n to Cn+1 it is shown that they are homotopically equivalent to a wedge of spheres. Applications to the Mond conjecture are given.
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作者:Ziegler, GM
作者单位:Technical University of Berlin
摘要:The Kneser conjecture (1955) was proved by Lovasz (1978) using the Borsuk-Ulam theorem; all subsequent proofs, extensions and generalizations also relied on Algebraic Topology results, namely the Borsuk-Ulam theorem and its extensions. Only in 2000, Matousek provided the first combinatorial proof of the Kneser conjecture. Here we provide a hypergraph coloring theorem, with a combinatorial proof, which has as special cases the Kneser conjecture as well as its extensions and generalization by (h...
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作者:Ionel, EN
作者单位:University of Wisconsin System; University of Wisconsin Madison
摘要:We show that any degree at least g monomial in descendant or tautological classes vanishes on M-g,M-n when g greater than or equal to 2. This generalizes a result of Looijenga and proves a version of Getzler's conjecture. The method we use is the study of the relative Gromov-Witten invariants of P-1 relative to two points combined with the degeneration formulas of [IP1].
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作者:Etnyre, JB; Honda, K
作者单位:University of Pennsylvania; University of Southern California
摘要:We exhibit tight contact structures on 3-manifolds that do not admit any symplectic fillings.
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作者:Sarig, O
作者单位:University of Warwick
摘要:We describe a method for proving subexponential lower bounds for correlations functions, and apply it to study decay of correlations for maps with countable Markov partitions. One result is that LS Young's upper estimates [Y2] are optimal in many situations. Our method is based on a general result concerning the asymptotics of renewal sequences of bounded operators acting on Banach spaces, which we apply to the iterates of the transfer operator.
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作者:Wise, DT
作者单位:University of California System; University of California Berkeley
摘要:A subgroup M subset of G is almost malnormal provided that for each g epsilon G - M, the intersection M-g boolean AND M is finite. It is proven that the free product of two virtually free groups amalgamating a finitely generated almost malnormal subgroup, is residually finite. A consequence of a generalization of this result is that an acute-angled n-gon of finite groups is residually finite if n greater than or equal to 4. Another consequence is that if G acts properly discontinuously and coc...
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作者:Elliott, PDTA
作者单位:University of Colorado System; University of Colorado Boulder
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作者:Grove, K; Ziller, W
作者单位:University System of Maryland; University of Maryland College Park; University of Pennsylvania