The $RO(G)$-graded Serre spectral sequence

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

The Equivariant Serre Spectral Sequence

For spaces with a group action, we introduce Bredon cohomology with local (or twisted) coefficients and show that it is invariant under weak equivariant homotopy equivalence. We use this new cohomology to construct a Serre spectral sequence for equivariant fibrations. Bredon [1] introduced what is now called Bredon cohomology, with the purpose of developing obstruction theory in the context of ...

متن کامل

Lagrangian Intersections and the Serre Spectral Sequence

For a transversal pair of closed Lagrangian submanifolds L, L of a symplectic manifold M so that π1(L) = π1(L′) = 0 = c1|π2(M) = ω|π2(M) and a generic almost complex structure J we construct an invariant with a high homotopical content which consists in the pages of order ≥ 2 of a spectral sequence whose differentials provide an algebraic measure of the highdimensional moduli spaces of pseudo-h...

متن کامل

Short Complete Proofs of the Serre Spectral Sequence Theorems

A new improved ”Simple complete proofs of the Serre spectral sequence theorems”. In ([B]) I set forth a proof of the Serre calculation of E and claimed among other things that unlike my previous attempts to prove this in graduate course lectures, this proof was routine. On presenting this material in class, I discovered it was not as routine as I had imagined. With the help of Pallavi Jayawart ...

متن کامل

Fibered 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 کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Homology, Homotopy and Applications

سال: 2010

ISSN: 1532-0073,1532-0081

DOI: 10.4310/hha.2010.v12.n1.a7