4 citations · 7 across the 4 of their papers we have counts for
4 papers
A geometric Morse-Novikov complex with infinite series coefficients
François Laudenbach, Carlos Moraga Ferrandiz
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 on M , c…
Homoclinic bifurcation in Morse-Novikov theory, a doubling phenomenon
François Laudenbach, Carlos Moraga Ferrándiz
We consider a compact manifold of dimension greater than 2 and a differential form of degree one which is closed but non-exact. This form, viewed as a multi-valued function has a g…
The s-cobordism theorem seen as a particular case of Latour's theorem
Carlos Moraga Ferrandiz
We show how Latour's theorem can be understood as a natural generalization of the -cobordism theorem for cohomology classes . The -cobordism the…
Elimination of extremal index zeroes from generic paths of closed 1-forms
Carlos Moraga Ferrandiz
Let be a Morse closed -form of a smooth -dimensional manifold . The zeroes of of index or are called \emph{centers}. It is known that every non-vanishing d…