Generalization of the symplectic modular group
نویسندگان
چکیده
منابع مشابه
Symplectic Modular Symbols
Let K/Q be a number field with euclidean ring of integers O. Let Γ be a finite-index torsion-free subgroup of the symplectic group Sp2n(O), and let N be the cohomological dimension of Γ. We exhibit a finite, geometrically-defined spanning set of H (Γ;Z) by generalizing the modular symbol algorithm of Ash and Rudolph for SLn(O).
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Motivated by the Petrie conjecture, we consider the following questions: Let a circle act in a Hamiltonian fashion on a compact symplectic manifold (M,ω) which satisfies H(M ;R) = H(CP,R) for all i. Is H(M ;Z) = H(CP;Z) for all j? Is the total Chern class of M determined by the cohomology ring H∗(M ;Z)? We answer these questions in the six dimensional case by showing that H(M ;Z) is equal to H(...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1966
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-11-3-281-291