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ArticleOriginal scientific text

Title

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

Authors 1, 2

Affiliations

  1. Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, Piazzale Europa, 1, 34100 Trieste, Italy
  2. Fachbereich Mathematik, Universität Rostock, Universitätsplatz 1, 18055 Rostock, Germany

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.

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Banach Center Publications
1999/47/1
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Pages:
233-246
Main language of publication
English
Published
1999
Exact and natural sciences