Unstable geodesics and topological field theory

DOI10.1063/1.530803zbMath0822.58009arXivhep-th/9312100OpenAlexW2025198058MaRDI QIDQ4327194

Satoshi Takahashi, Yukinori Yasui

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9312100

zbMATH Keywords

cohomologytopological field theorymapping space

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Quantization in field theory; cohomological methods (81T70) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Manifolds of mappings (58D15)

Cites Work

• A note on Morse theory and one-dimensional solitons
• Closed geodesics on Riemannian manifolds via the heat flow
• Existence and partial regularity results for the heat flow for harmonic maps
• Stationary phase approximation and quantum soliton families
• Topological sigma models
• An instanton-invariant for 3-manifolds
• Witten complex and supersymmetric quantum mechanics on SO(3)
• Integration in Functional Spaces and its Applications in Quantum Physics
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• Lectures on Morse theory, old and new

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