Morse homology for the heat flow – Linear theory

DOI10.1002/mana.201100319zbMath1262.35049OpenAlexW2065768817MaRDI QIDQ4906573

Joa Weber

Publication date: 28 February 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201100319

zbMATH Keywords

Fredholm theoryimplicit function theoremexponential decayMorse complexnondegenerate asymptotic boundary conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (4)

Morse homology for the heat flow ⋮ The Yang-Mills gradient flow and loop spaces of compact Lie groups ⋮ The regularized free fall. II: Homology computation via heat flow ⋮ Elliptic Yang–Mills flow theory

Cites Work

• Floer homology and the heat flow
• Perturbed closed geodesics are periodic orbits: index and transversality
• The Spectral Flow and the Maslov Index
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