The Cohomology Ring of Certain Kählerian Manifolds

2012 ◽  
pp. 29-42
Author(s):  
Manfredo P. do Carmo
Keyword(s):  
Cohomology Ring ◽  
Kählerian Manifolds

The Cohomology Ring of Certain Kahlerian Manifolds

1965 ◽  
Vol 81 (1) ◽  
pp. 1 ◽  
Author(s):  
Manfredo P. do Carmo
Keyword(s):  
Cohomology Ring ◽  
Kählerian Manifolds

A Generalization of “Concordance of PL-Homeomorphisms of Sp × Sq

1972 ◽  
Vol 24 (3) ◽  
pp. 426-431 ◽  
Author(s):  
J. P. E. Hodgson
Keyword(s):  
Equivalence Relation ◽  
Cohomology Ring

Let Mm be a closed PL manifold of dimension m. Then a concordance between two PL-homeomorphisms h0, h1:M → M is a PL-homeomorphismH: M × I → M × I such that H|M × 0 = h0 and H|M × 1 = h. Concordance is an equivalence relation and in his paper [2], M. Kato classifies PL-homeomorphisms of Sp × Sq up to concordance. To do this he treats first the problem of classifying those homeomorphisms that induce the identity in homology, and then describes the automorphisms of the cohomology ring that can arise from homeomorphisms of Sp × Sq. In this paper we show that for sufficiently connected PL-manifolds that embed in codimension 1, one can extend Kato's classification of the homeomorphisms that induce the identity in homology.

scholarly journals The existence of generating families for the cohomology ring of a graph

2003 ◽  
Vol 174 (1) ◽  
pp. 115-153 ◽  
Author(s):  
Victor Guillemin ◽  
Catalin Zara
Keyword(s):  
Cohomology Ring

A class of non-Kählerian manifolds

1986 ◽  
Vol 100 (3) ◽  
pp. 519-521 ◽  
Author(s):  
F. E. A. Johnson
Keyword(s):  
Group Theory ◽  
Fundamental Groups ◽  
Genus 2 ◽  
Kählerian Manifolds

Let S+ (resp. S−) denote the class of fundamental groups of closed orientable (resp. non-orientable) 2-manifolds of genus ≥ 2, and let surface = S+ ∪ S−. In the list of problems raised at the 1977 Durham Conference on Homological Group Theory occurs the following([7], p. 391, (G. 3)).

The polynomial cohomology ring for characteristicp

1962 ◽  
Vol 79 (1) ◽  
pp. 297-306
Author(s):  
Robert Heaton
Keyword(s):  
Cohomology Ring

scholarly journals Cohomology of groups and splendid equivalences of derived categories

2001 ◽  
Vol 131 (3) ◽  
pp. 459-472 ◽  
Author(s):  
ALEXANDER ZIMMERMANN
Keyword(s):  
Group Ring ◽  
Local Structure ◽  
Cohomology Ring ◽  
Derived Categories ◽  
Derived Category ◽  
Restriction Map ◽  
Group Rings ◽  
Cohomology Rings ◽  
The Impact ◽  
Cohomology Of Groups

In an earlier paper we studied the impact of equivalences between derived categories of group rings on their cohomology rings. Especially the group of auto-equivalences TrPic(RG) of the derived category of a group ring RG as introduced by Raphaël Rouquier and the author defines an action on the cohomology ring of this group. We study this action with respect to the restriction map, transfer, conjugation and the local structure of the group G.

Sign in / Sign up

Export Citation Format

Share Document