Geodesic
Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces
Informatics and Automation, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 198-209

Voir la notice de l'article provenant de la source Math-Net.Ru

A real toric manifold $X^{\Bbb R} $ is said to be cohomologically rigid over ${\Bbb Z} _2$ if every real toric manifold whose ${\Bbb Z} _2$-cohomology ring is isomorphic to that of $X^{\Bbb R} $ is actually diffeomorphic to $X^{\Bbb R} $. Not all real toric manifolds are cohomologically rigid over ${\Bbb Z} _2$. In this paper, we prove that the connected sum of three real projective spaces is cohomologically rigid over ${\Bbb Z} _2$.
Keywords: real toric variety, real toric manifold, cohomological rigidity. 
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     author = {Suyoung Choi and Mathieu Vall\'ee},
     title = {Cohomological {Rigidity} of the {Connected} {Sum} of {Three} {Real} {Projective} {Spaces}},
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     pages = {198--209},
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     volume = {317},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/TRSPY_2022_317_a9/}
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Suyoung Choi; Mathieu Vallée. Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces. Informatics and Automation, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 198-209. http://geodesic.mathdoc.fr/item/TRSPY_2022_317_a9/