𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The cohomology ring of a class of Seifert manifolds

✍ Scribed by J. Bryden; C. Hayat-Legrand; H. Zieschang; P. Zvengrowski

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
262 KB
Volume
105
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

The cohomology groups of the Seifert manifolds are well known. In this article a method is given to compute the cup products in the cohomology ring of any orientable Seifert manifold whose associated orbit surface is S 2 , and for any coefficients. In particular the Z/2 cohomology ring is completely determined. This is applied to determine the existence of degree 1 maps from the Seifert manifold to RP 3 , and to the Lusternik-Schnirelmann category.

πŸ“œ SIMILAR VOLUMES

Perturbative invariant of Seifert fibere
Perturbative invariant of Seifert fibered rational homology spheres associated with trivial first cohomology class
✍ Chifumi Sato πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 171 KB

In this paper, we shall give a general formula for the quantum SU(2)-invariant of Seifert fibered rational homology spheres over a 2-sphere associated with the trivial first cohomology class modulo two, based on the linear skein theory. We shall derive the Casson-Walker invariant from the formula. A

The Depth of Invariant Rings and Cohomol
The Depth of Invariant Rings and Cohomology
✍ Gregor Kemper πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 426 KB

Let G be a finite group acting linearly on a vector space V over a field K of positive characteristic p and let P ≀ G be a Sylow p-subgroup. Ellingsrud and Skjelbred [Compositio Math. 41 (1980), 233-244] proved the lower bound for the depth of the invariant ring, with equality if G is a cyclic p-gr