Photo from academic.microsoft.com
Abstract Let M be a closed n-dimensional manifold, n > 2 , whose first real cohomology group H 1 ( M ; R ) is non-zero. We present a general… Click to show full abstract
Abstract Let M be a closed n-dimensional manifold, n > 2 , whose first real cohomology group H 1 ( M ; R ) is non-zero. We present a general method for constructing a Morse 1-form α on M, closed but non-exact, and a pseudo-gradient X such that the differential ∂ X of the Novikov complex of the pair ( α , X ) has at least one incidence coefficient which is an infinite series. This is an application of our previous study of the homoclinic bifurcation of pseudo-gradients of multivalued Morse functions.
Keywords:
geometric morse;
novikov complex;
infinite series;
morse novikov
Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Comptes Rendus Mathematique
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!