scholarly journals Strongly isospectral manifolds with nonisomorphic cohomology rings

2013 ◽  
Vol 29 (2) ◽  
pp. 611-634 ◽  
Author(s):  
Emilio Lauret ◽  
Roberto Miatello ◽  
Juan Rossetti
1985 ◽  
Vol 121 (1) ◽  
pp. 169 ◽  
Author(s):  
Toshikazu Sunada

2008 ◽  
Vol 05 (01) ◽  
pp. 49-61 ◽  
Author(s):  
HYUNSUK KANG

We generalise the compactness of isospectral metrics in the C∞-topology modulo gauge equivalence in dimension three to the case for Schrödinger operators with bounded potentials, as well as the finiteness of diffeomorphism types of isospectral manifolds.


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.


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

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