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Morse complexes and multiplicative structures

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 Added by Hossein Abbaspour
 Publication date 2018
  fields
and research's language is English




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In this article we lay out the details of Fukayas $A_infty$-structure of the Morse complexe of a manifold possibly with boundary. We show that this $A_infty$-structure is homotopically independent of the made choices. We emphasize the transversality arguments that make some fiber products smooth.



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