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Gael Meigniez
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There have been studies of this question by Laudenbach; his papers are clear and efficientby Laudenbach.

Laudenbach, François A Morse complex on manifolds with boundary. Geom. Dedicata 153 (2011), 47–57.

Laudenbach, François The Poincaré-Lefschetz pairing viewed on Morse complexes. Ann. Fac. Sci. Toulouse Math. (6)30(2021), no.4, 801–812.

There have been studies of this question by Laudenbach; his papers are clear and efficient.

Laudenbach, François A Morse complex on manifolds with boundary. Geom. Dedicata 153 (2011), 47–57.

Laudenbach, François The Poincaré-Lefschetz pairing viewed on Morse complexes. Ann. Fac. Sci. Toulouse Math. (6)30(2021), no.4, 801–812.

There have been papers by Laudenbach.

Laudenbach, François A Morse complex on manifolds with boundary. Geom. Dedicata 153 (2011), 47–57.

Laudenbach, François The Poincaré-Lefschetz pairing viewed on Morse complexes. Ann. Fac. Sci. Toulouse Math. (6)30(2021), no.4, 801–812.

Source Link
Gael Meigniez
  • 2.5k
  • 10
  • 22

There have been studies of this question by Laudenbach; his papers are clear and efficient.

Laudenbach, François A Morse complex on manifolds with boundary. Geom. Dedicata 153 (2011), 47–57.

Laudenbach, François The Poincaré-Lefschetz pairing viewed on Morse complexes. Ann. Fac. Sci. Toulouse Math. (6)30(2021), no.4, 801–812.