Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces

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Abstract

A real toric manifold $X^$ is said to be cohomologically rigid over $_2$ if every real toric manifold whose $_2$-cohomology ring is isomorphic to the one of $X^$ is actually diffeomorphic to $X^$. Not all real toric manifolds are cohomologically rigid over $_2$. In this paper, we prove that the connected sum of three real projective spaces is cohomologically rigid over $_2$.

Citation

Choi, Suyoung, and Mathieu Vallée. 2022. “Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces.” Proceedings of the Steklov Institute of Mathematics 317 (1): 178–188. https://doi.org/10.1134/S0081543822020109

@article{Choi_Vallée_2022a,
  author = {Suyoung Choi and Mathieu Vallée},
  year = {2022},
  title = {Cohomological Rigidity of the Connected Sum of Three Real Projective Spaces},
  journal = {Proc. Steklov Inst. Math.},
  volume = {317},
  number = {1},
  pages = {178–188},
  doi = {10.1134/S0081543822020109},
  rights = {All rights reserved},
}