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Topological rigidity of higher graph manifolds

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Abstract

In this short note we prove the Borel conjecture for a family of aspherical manifolds that includes higher graph manifolds.

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Acknowledgments

The authors thank Boris Goldfarb and Jim Davis for conversations related to this paper. The first named author acknowledges the support of UNAM PAPIIT Grant ID100315. The second named author has support from UNAM-PAPIIT -IN105614 and CONACyT 151338 research Grants. The third named author thanks CONACyT Mexico and DGAPA-UNAM (IN 102716, PE 106915) for supporting various research initiatives.

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Authors and Affiliations

  1. Centro de Ciencias Matemáticas, Universidad Nacional Autónoma de México, Ap.Postal 61-3 Xangari, 58089, Morelia, Michoacán, Mexico

    Noé Bárcenas & Daniel Juan-Pineda

  2. Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, Coyoacán, 04510, Mexico City, D. F., Mexico

    Pablo Suárez-Serrato

Authors
  1. Noé Bárcenas
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  2. Daniel Juan-Pineda
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  3. Pablo Suárez-Serrato
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Corresponding author

Correspondence to Pablo Suárez-Serrato.

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Dedicated to the memory of Prof. Samuel Gitler.

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Bárcenas, N., Juan-Pineda, D. & Suárez-Serrato, P. Topological rigidity of higher graph manifolds. Bol. Soc. Mat. Mex. 23, 119–127 (2017). https://doi.org/10.1007/s40590-016-0099-5

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  • DOI: https://doi.org/10.1007/s40590-016-0099-5

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