Some remarks on tubular neighborhoods and gluing in Morse-Floer homology

Volume 47 / 1999

Maurizio Rinaldi, Krzysztof Rybakowski Banach Center Publications 47 (1999), 233-246 DOI: 10.4064/-47-1-233-246

Abstract

We discuss the gluing principle in Morse-Floer homology and show that there is a gap in the traditional proof of the converse gluing theorem. We show how this gap can be closed by the use of a uniform tubular neighborhood theorem. The latter result is only stated here. Details are given in the authors' paper, Tubular neighborhoods and the Gluing Principle in Floer homology theory, to appear.

Authors

  • Maurizio Rinaldi
  • Krzysztof Rybakowski

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