Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces

A real toric manifold is said to be cohomologically rigid over if every real toric manifold whose -cohomology ring is isomorphic to that of is actually diffeomorphic to . Not all real toric manifolds are cohomologically rigid over . In this paper, we prove that the connected sum of three real projec...

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Bibliographic Details
Published in:Array (New York) 2022-06, Vol.317 (1), p.178-188
Main Authors: Choi, Suyoung, Vallée, Mathieu
Format: Article
Language:English
Subjects:
14/34
639/766/189
639/766/530
639/766/747
Algebraic Geometry
Combinatorics
Homology
Manifolds
Mathematics
Mathematics and Statistics
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Summary:A real toric manifold is said to be cohomologically rigid over if every real toric manifold whose -cohomology ring is isomorphic to that of is actually diffeomorphic to . Not all real toric manifolds are cohomologically rigid over . In this paper, we prove that the connected sum of three real projective spaces is cohomologically rigid over .
ISSN:0081-5438
2590-0056
1531-8605
2590-0056
DOI:10.1134/S0081543822020109