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Counting maximally broken Morse trajectories on aspherical manifolds

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Abstract

We prove a lower bound on the number of maximally broken trajectories of the negative gradient flow of a Morse–Smale function on a closed aspherical manifold in terms of integral (torsion) homology.

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Notes

  1. As the MathSciNet reviewer of [5] puts it: This paper discusses a strange historical lacuna.

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Authors and Affiliations

  1. Institute for Algebra and Geometry, Karlsruhe Institute of Technology, Karlsruhe, Germany

    Caterina Campagnolo & Roman Sauer

Authors
  1. Caterina Campagnolo
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  2. Roman Sauer
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Correspondence to Caterina Campagnolo.

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The authors acknowledge funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 281869850 (RTG 2229).

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Campagnolo, C., Sauer, R. Counting maximally broken Morse trajectories on aspherical manifolds. Geom Dedicata 202, 387–399 (2019). https://doi.org/10.1007/s10711-018-00420-2

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  • DOI: https://doi.org/10.1007/s10711-018-00420-2

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