Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology

Inbunden, Engelska, 2018

AvStephan Mescher

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To make A8-structures in Morse theory accessible to a broader audience, this book provides a coherent and detailed treatment of Abouzaid’s approach, including a discussion of all relevant analytic notions and results, requiring only a basic grasp of Morse theory.

Produktinformation

Utgivningsdatum2018-05-07
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieAtlantis Studies in Dynamical Systems
Antal sidor171
FörlagSpringer International Publishing AG
ISBN9783319765839

Tillhör följande kategorier

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.