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

AvStephan Mescher

Häftad, Engelska, 2018

Del i serien Atlantis Studies in Dynamical Systems

693 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Inbunden

956 kr

Beskrivning

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

Utgivningsdatum:2018-12-19
Mått:155 x 235 x 12 mm
Vikt:312 g
Format:Häftad
Språk:Engelska
Serie:Atlantis Studies in Dynamical Systems
Antal sidor:171
Förlag:Springer Nature Switzerland AG
ISBN:9783030095260

Utforska kategorier

Mer om författaren

Dr. Stephan Mescher is a Research Fellow at the University of Leipzig. He graduated with a degree in Mathematics from Bielefeld University in 2008 and obtained his Ph.D. at the University of Leipzig in 2017, supervised by Prof. Matthias Schwarz.

Innehållsförteckning

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.