Mescher Perturbed Gradient Flow Trees and A8-algebra Structures in Morse Cohomology
1. Auflage 2018
ISBN: 978-3-319-76584-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 171 Seiten
Reihe: Atlantis Studies in Dynamical Systems
ISBN: 978-3-319-76584-6
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
In addition to its relevance for finite-dimensional Morse homology, this book may be used as a preparation for the study of Fukaya categories in symplectic geometry. It will beof interest to researchers in mathematics (geometry and topology), and to graduate students in mathematics with a basic command of the Morse theory.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1. Basics on Morse homology.- 2. Perturbations of gradient flow trajectories.- 3. Nonlocal generalizations.- 4. Moduli spaces of perturbed Morse ribbon trees.- 5. The convergence behaviour of sequences of perturbed Morse ribbon trees.- 6. Higher order multiplications and the A8-relations.- 7. A8-bimodule structures on Morse chain complexes.- A. Orientations and sign computations for perturbed Morse ribbon trees.