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作者：Okounkov, A; Pandharipande, R
作者单位：Princeton University
摘要：We prove generalized Virasoro constraints for the relative Gromov-Witten theories of all nonsingular target curves. Descendents of the even cohomology classes are studied first by localization, degeneration, and completed cycle methods. Descendents of the odd cohomology are then controlled by monodromy and geometric vanishing relations. As an outcome of our results, the relative theories of target curves are completely and explicitly determined.We prove generalized Virasoro constraints for the...
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作者：Bader, U; Shalom, Y
作者单位：Technion Israel Institute of Technology; Tel Aviv University
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作者：Biss, D; Farb, B
作者单位：University of Chicago
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作者：Aizenman, M; Elgart, A; Naboko, S; Schenker, JH; Stolz, G
作者单位：Princeton University; Stanford University; Saint Petersburg State University; Swiss Federal Institutes of Technology Domain; ETH Zurich; University of Alabama System; University of Alabama Birmingham; Princeton University
摘要：We study localization effects of disorder on the spectral and dynamical properties of Schrodinger operators with random potentials. The new results include exponentially decaying bounds on the transition amplitude and related projection kernels, including in the mean. These are derived through the analysis of fractional moments of the resolvent, which are finite due to the resonance-diffusing effects of the disorder. The main difficulty which has up to now prevented an extension of this method...
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作者：Cortiñas, G
摘要：Let f : A -> B be a ring homomorphism of not necessarily unital rings and I Delta A an ideal which is mapped by f isomorphically to an ideal of B. The obstruction to excision in K-theory is the failure of the map between relative K-groups K-*(A : I). K-*(B:f(I)) to be an isomorphism; it is measured by the birelative groups K-*(A,B:I). Similarly the groups HN*(A,B:I) measure the obstruction to excision in negative cyclic homology. We show that the rational Jones-Goodwillie Chern character induc...
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作者：Scanlon, T
作者单位：University of California System; University of California Berkeley
摘要：We prove a p-adic version of the Andre-Oort conjecture for subvarieties of the universal abelian varieties. Let g and n be integers with n >= 3 and p a prime number not dividing n. Let R be a finite extension of W[F-p(alg)], the ring of Witt vectors of the algebraic closure of the field of p elements. The moduli space A = A(g,1,n) of g-dimensional principally polarized abelian varieties with full level n-structure as well as the universal abelian variety p : X --> A over A may be defined over ...
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作者：Bate, M; Martin, B; Röhrle, G
作者单位：University of Birmingham; University of Canterbury
摘要：Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-completely reducible subgroups of G, giving new criteria for G-complete reducibility. We show that a subgroup of G is G-completely reducible if and only if it is strongly reductive in G; this allows us to use ideas of R.W. Richardson and Hilbert-Mumford-Kempf from geometric invariant theory. We deduce that a normal subgroup of a G-completely reducible subgroup of G is again G-completely reducible, ...
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作者：Buzzi, J
作者单位：Institut Polytechnique de Paris; Ecole Polytechnique; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Institut Polytechnique de Paris; Ecole Polytechnique
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作者：Goodman-Strauss, C
作者单位：University of Arkansas System; University of Arkansas Fayetteville
摘要：We construct the first known example of a strongly aperiodic set of tiles in the hyperbolic plane. Such a set of tiles does admit a tiling, but admits no tiling with an infinite cyclic symmetry. This can also be regarded as a regular production system [5] that does admit bi-infinite orbits, but admits no periodic orbits.
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作者：Arapura, D
作者单位：Purdue University System; Purdue University
