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作者:Friedman, E; Skoruppa, NP
作者单位:Universidad de Chile; Universite de Bordeaux
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作者:Li, WP; Qin, ZB
作者单位:Hong Kong University of Science & Technology; Oklahoma State University System; Oklahoma State University - Stillwater
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作者:Mehta, VB; Trivedi, V
作者单位:Tata Institute of Fundamental Research (TIFR)
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作者:Cuypers, H; Steinbach, A
作者单位:Eindhoven University of Technology; Justus Liebig University Giessen
摘要:Most classical groups arising from (anti-) hermitian forms or (pseudo-) quadratic forms contain so-called isotropic transvections. The isotropic transvection subgroups of these classical groups, i.e., the subgroups generated by all isotropic transvections with a fixed axis, form a class Sigma of abelian subgroups which is a class of abstract transvection groups in the sense of Timmesfeld [24]. In this paper we give a common characterization of all these classical groups with isotropic transvec...
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作者:Dunfield, NM
作者单位:University of Chicago
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作者:Masur, HA; Minsky, YN
作者单位:University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital; State University of New York (SUNY) System; Stony Brook University
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作者:Le, TTQ
作者单位:State University of New York (SUNY) System; University at Buffalo, SUNY
摘要:The integrality of the Kontsevich integral and perturbative invariants is discussed. It is shown that the denominator of the degree n part of the Kontsevich integral of any knot or link is a divisor of (2!3!... n!)(4)(n + 1)!. We prove this by establishing the existence of a Drinfeld's associator in the space of chord diagrams with special denominators. We also show that the denominator of the degree n part of the universal perturbative invariant of homology 3-spheres is not divisible by any p...
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作者:Hwang, JM; Mok, N
作者单位:Seoul National University (SNU); University of Hong Kong
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作者:Woodward, C
作者单位:Harvard University
摘要:Multiplicity-free actions are symplectic manifolds with a very high degree of symmetry. Delzant [2] showed that all compact multiplicity-free torus actions admit compatible Kahler structures, and are therefore toric varieties. In this note we show that Delzant's result does not generalize to the non-abelian case. Our examples are constructed by applying U(2)-equivariant symplectic surgery to the flag variety U(3)/T-3. We then show that these actions fail a criterion which Tolman [9] shows is n...
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作者:Abreu, M
作者单位:Institute for Advanced Study - USA