Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology
This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A∞-algebra by means of perturbed gradient flow trajectories. This approach is a variation on K. Fukaya's definition...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2018.
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Έκδοση: | 1st ed. 2018. |
Σειρά: | Atlantis Studies in Dynamical Systems ;
6 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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 A∞-relations
- 7. A∞-bimodule structures on Morse chain complexes
- A. Orientations and sign computations for perturbed Morse ribbon trees.