cohomological rigidity
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2021 ◽  
Vol 21 (7) ◽  
pp. 3601-3622
Author(s):  
Soumen Sarkar ◽  
Jongbaek Song


2021 ◽  
pp. 1-41
Author(s):  
DANIJELA DAMJANOVIĆ ◽  
JAMES TANIS

Abstract In this paper we prove a perturbative result for a class of ${\mathbb Z}^2$ actions on Heisenberg nilmanifolds that have Diophantine properties. Along the way we prove cohomological rigidity and obtain a tame splitting for the cohomology with coefficients in smooth vector fields for such actions.



2019 ◽  
Vol 95 (10) ◽  
pp. 107-110
Author(s):  
Matthias Franz ◽  
Hitoshi Yamanaka


Author(s):  
Suyoung Choi ◽  
Seonjeong Park

Every cohomology ring isomorphism between two non-singular complete toric varieties (respectively, two quasitoric manifolds), with second Betti number 2, is realizable by a diffeomorphism (respectively, homeomorphism).



2017 ◽  
Vol 72 (2) ◽  
pp. 199-256 ◽  
Author(s):  
V M Buchstaber ◽  
N Yu Erokhovets ◽  
M Masuda ◽  
T E Panov ◽  
S Park


2016 ◽  
Vol 302 ◽  
pp. 1044-1068
Author(s):  
J. Popko ◽  
A. Szczepański






Author(s):  
Jin Hong Kim

For quasitoric manifolds and moment-angle complexes which are central objects recently much studied in toric topology, there are several important notions of rigidity formulated in terms of cohomology rings. The aim of this paper is to show that, among other things, Buchstaber-rigidity (or B-rigidity) is equivalent to cohomological-rigidity (or C-rigidity) for simple convex polytopes supporting quasitoric manifolds.



2012 ◽  
Vol 49 (4) ◽  
pp. 761-765 ◽  
Author(s):  
Su-Young Choi ◽  
Dong-Youp Suh


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