Vanishing of cohomology groups and large eigenvalues of the Laplacian on p-forms

2004 ◽  
Vol 250 (1) ◽  
pp. 43-57 ◽  
Author(s):  
Junya Takahashi
2019 ◽  
Vol 56 (2) ◽  
pp. 461-500 ◽  
Author(s):  
Oliver Cooley ◽  
Nicola Del Giudice ◽  
Mihyun Kang ◽  
Philipp Sprüssel

2007 ◽  
Vol 06 (04) ◽  
pp. 703-730
Author(s):  
JEROME W. HOFFMAN ◽  
HAOHAO WANG

This paper is concerned with the relationships between two concepts, vanishing of cohomology groups and the structure of free resolutions. In particular, we study the connection between vanishing theorems for the local cohomology of multigraded modules and the structure of their free multigraded resolutions.


2004 ◽  
Vol 11 (4) ◽  
pp. 613-633
Author(s):  
V. Baladze ◽  
L. Turmanidze

Abstract Border homology and cohomology groups of pairs of uniform spaces are defined and studied. These groups give an intrinsic characterization of Čech type homology and cohomology groups of the remainder of a uniform space.


2016 ◽  
Vol 458 ◽  
pp. 120-133 ◽  
Author(s):  
Akinari Hoshi ◽  
Ming-chang Kang ◽  
Aiichi Yamasaki

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