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We recall in this section the proof of invariance in the classical setting of Morse homology, where the auxiliary data consists of f , \( \xi \) , the orientation of the unstable manifolds o, and — in the case of lifted Morse homology — the choice of lifts of the critical points of f to the universal cover \( \tilde{\textit{X}} \) .

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Morse Homology with DG-Coefficients: Invariance

  • 章节

  • 发表日期：

    2025年

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  • Jean-François Barraud,
  • Mihai Damian,
  • Vincent Humilière,
  • Alexandru Oancea

摘要

We recall in this section the proof of invariance in the classical setting of Morse homology, where the auxiliary data consists of f , \( \xi \) , the orientation of the unstable manifolds o, and — in the case of lifted Morse homology — the choice of lifts of the critical points of f to the universal cover \( \tilde{\textit{X}} \) .