scholarly journals Singular cohomology rings of some orbit spaces defined by free involution on CP(2m+1)

2010 ◽  
Vol 324 (6) ◽  
pp. 1212-1218
Author(s):  
Rehana Ashraf
Author(s):  
Oliver Goertsches ◽  
Michael Wiemeler

AbstractIn this paper we study non-negatively curved and rationally elliptic GKM$$_4$$ 4 manifolds and orbifolds. We show that their rational cohomology rings are isomorphic to the rational cohomology of certain model orbifolds. These models are quotients of isometric actions of finite groups on non-negatively curved torus orbifolds. Moreover, we give a simplified proof of a characterisation of products of simplices among orbit spaces of locally standard torus manifolds. This characterisation was originally proved in Wiemeler (J Lond Math Soc 91(3): 667–692, 2015) and was used there to obtain a classification of non-negatively curved torus manifolds.


2018 ◽  
Vol 97 (2) ◽  
pp. 340-348
Author(s):  
ANA MARIA M. MORITA ◽  
DENISE DE MATTOS ◽  
PEDRO L. Q. PERGHER

We determine the possible $\mathbb{Z}_{2}$-cohomology rings of orbit spaces of free actions of $\mathbb{Z}_{2}$ (or fixed point free involutions) on the Dold manifold $P(1,n)$, where $n$ is an odd natural number.


2001 ◽  
Vol 131 (3) ◽  
pp. 459-472 ◽  
Author(s):  
ALEXANDER ZIMMERMANN

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.


2018 ◽  
pp. 174-194
Author(s):  
Marvin J. Greenberg ◽  
John R. Harper
Keyword(s):  

2014 ◽  
Vol 8 (5) ◽  
pp. 2375-2387 ◽  
Author(s):  
Ismet Karaca ◽  
Gulseli Burak

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