منابع مشابه
The Leray-serre Spectral Sequence
Spectral sequences are a powerful bookkeeping tool, used to handle large amounts of information. As such, they have become nearly ubiquitous in algebraic topology and algebraic geometry. In this paper, we take a few results on faith (i.e., without proof, pointing to books in which proof may be found) in order to streamline and simplify the exposition. From the exact couple formulation of spectr...
متن کامل1 Leray Spectral Sequence Theorem for Nccw
We prove in this paper a noncommutative version of Leray Theorem and then Leray-Serre Spectral Theorem for noncommutative Serre fibrations: for NC Serre fibration there are converging spectral sequences with E 2 terms as E 2 p,q = HP p (A; HP q (B, A)) =⇒ HP p+q (B) and E 2 p,q = HP p (A; Kq(B, A)) =⇒ Kp+q(B).
متن کاملSecond Leray spectral sequence of relative hypercohomology.
A second Leray spectral sequence of relative hypercohomology is constructed. (This is skew in generality to an earlier one constructed by S. Lubkin [(1968) Ann. Math. 87, 105-255].) The Mayer-Vietoris sequence of relative hypercohomology [Lubkin, S. (1968) Ann. Math. 87, 105-255] is also generalized.
متن کاملFibered Symplectic Cohomology and the Leray-serre Spectral Sequence
We define Symplectic cohomology groups FH∗ [a,b] (E), −∞ ≤ a < b ≤ ∞ for a class of symplectic fibrations F →֒ E −→ B with closed symplectic base and convex at infinity fiber. The crucial geometric assumption on the fibration is a negativity property reminiscent of negative curvature in complex vector bundles. When B is symplectically aspherical we construct a spectral sequence of Leray-Serre ty...
متن کاملFibered Symplectic Homology and the Leray-serre Spectral Sequence
We define Floer (or Symplectic) cohomology groups FH ]a, b] (E), −∞ ≤ a < b ≤ ∞ for a class of monotone symplectic fibrations F →֒ E −→ B with closed symplectic base and convex at infinity fiber. The crucial geometric assumption on the fibration is a negativity property reminiscent of negative curvature in complex vector bundles. Our construction is a fibered extension of a construction of Viter...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1989
ISSN: 0022-4049
DOI: 10.1016/0022-4049(89)90013-3