Serre spectral sequence

Results: 27



#Item
11Algebraic topology / Homotopy theory / Homotopy group / Mapping class group / Homology / Cohomology / Serre spectral sequence / Assembly map / Spectral sequence / Abstract algebra / Topology / Algebra

ASSEMBLING HOMOLOGY CLASSES IN AUTOMORPHISM GROUPS OF FREE GROUPS JAMES CONANT, ALLEN HATCHER, MARTIN KASSABOV, AND KAREN VOGTMANN Abstract. The observation that a graph of rank n can be assembled from graphs of smaller

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Source URL: www.math.cornell.edu

Language: English - Date: 2015-04-24 15:07:19
12Homological algebra / Spectral sequences / Group theory / Homology theory / Serre spectral sequence / Steenrod algebra / Eilenberg–Moore spectral sequence / Cohomology / Universal coefficient theorem / Abstract algebra / Algebra / Algebraic topology

THE COHOMOLOGY OF LIE GROUPS JUN HOU FUNG Abstract. We follow the computations in [2], [5], and [8] to deduce the cohomology rings of various Lie groups (SU (n), U (n), Sp(n) with Z-coefficients and SO(n), Spin(n), G2 ,

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Source URL: math.uchicago.edu

Language: English - Date: 2012-10-06 16:49:22
13Algebra / Homotopy theory / Group theory / Spectral sequences / Serre spectral sequence / Sheaf / Homotopy group / CW complex / Atiyah–Singer index theorem / Abstract algebra / Topology / Algebraic topology

REALIZATION OF EQUIVARIANT CHAIN COMPLEXES BERNHARD HANKE A BSTRACT. We discuss a question appearing in a recent article by A. Sikora [4] concerning the vanishing of certain differentials in the LeraySerre spectral seque

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:01
14Spectral sequences / Group theory / Algebraic topology / Functors / Grothendieck spectral sequence / Derived functor / Serre spectral sequence / Group cohomology / Exact functor / Abstract algebra / Algebra / Homological algebra

SPECTRAL SEQUENCES MATTHEW GREENBERG 1. Introduction Definition 1. Let a ≥ 1. An a-th stage spectral (cohomological) sequence consists of the following data:

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Source URL: www.math.mcgill.ca

Language: English - Date: 2008-10-03 11:29:58
15Algebra / Projective space / Steenrod algebra / Serre spectral sequence / Sheaf / Thom space / Cohomology / Line bundle / Abstract algebra / Topology / Algebraic topology

PROJECTIVE PRODUCT SPACES DONALD M. DAVIS Abstract. Let n = (n1 , . . . , nr ). The quotient space Pn := S n1 × · · · × S nr /(x ∼ −x) is what we call a projective product space. We determine the integral cohomo

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Source URL: www.lehigh.edu

Language: English - Date: 2009-08-24 07:19:56
16Topology / Steenrod algebra / Serre spectral sequence / Quasitoric manifold / Summation / Spectrum / Holomorphic functional calculus / Algebraic topology / Abstract algebra / Mathematics

This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and shar

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Source URL: www.lehigh.edu

Language: English - Date: 2013-10-28 12:22:04
17Algebraic topology / Spectral sequences / Serre spectral sequence / Steenrod algebra / Adams spectral sequence / Atiyah–Hirzebruch spectral sequence / Factorial / Grunsky matrix / Oscillator semigroup / Abstract algebra / Mathematics / Algebra

SPECTRAL SEQUENCES N. P. STRICKLAND 1. Introduction Definition 1.1. A (multiplicative, first quadrant, cohomologically graded) spectral sequence consists of a sequence of “pages” Er for r ≥ 2. Each page is a bigrad

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Source URL: neil-strickland.staff.shef.ac.uk

Language: English - Date: 2008-10-14 22:26:02
18Algebra / Homotopy theory / Group theory / Spectral sequences / Serre spectral sequence / Sheaf / Homotopy group / CW complex / Atiyah–Singer index theorem / Abstract algebra / Topology / Algebraic topology

REALIZATION OF EQUIVARIANT CHAIN COMPLEXES BERNHARD HANKE A BSTRACT. We discuss a question appearing in a recent article by A. Sikora [4] concerning the vanishing of certain differentials in the LeraySerre spectral seque

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Source URL: www.math.uni-augsburg.de

Language: English - Date: 2013-12-05 22:03:01
19Homology theory / Spectral sequence / Relative homology / Homology / Chain complex / CW complex / Simplicial homology / Serre spectral sequence / Eilenberg–Moore spectral sequence / Abstract algebra / Topology / Algebraic topology

You Could Have Invented Spectral Sequences Timothy Y. Chow Introduction

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Source URL: www-math.mit.edu

Language: English - Date: 2005-12-17 10:22:21
20Mathematics / Homotopy theory / Cohomology / Cobordism / CW complex / Homotopy groups of spheres / Spectrum / Homotopy group / Spectral sequence / Topology / Abstract algebra / Algebraic topology

Papers for[removed]J.-P. Serre, Homologie singuli`ere des espaces fibr´es. I, Applications, Annals of Mathematics[removed]–[removed]J.-P. Serre, Cohomologie modulo 2 des complexes d’Eilenberg-Maclane, Comm

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Source URL: www.math.harvard.edu

Language: English - Date: 2008-08-16 14:45:53
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