Geodesic
Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 198-209.

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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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Suyoung Choi; Mathieu Vallée. Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Toric Topology, Group Actions, Geometry, and Combinatorics. Part 1, Tome 317 (2022), pp. 198-209. http://geodesic.mathdoc.fr/item/TM_2022_317_a9/

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