In this chapter we explain the construction of the Morse complex with DGcoefficients. As an introduction, we first explain how the standard homology with (non-DG) local coefficients can be interpreted as a particular case of homology with DG-coefficients.

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Morse Homology with DG-Coefficients: Construction

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

摘要

In this chapter we explain the construction of the Morse complex with DGcoefficients. As an introduction, we first explain how the standard homology with (non-DG) local coefficients can be interpreted as a particular case of homology with DG-coefficients.