Some computations in string topology

DOI10.1007/s13226-022-00306-warXiv1903.10147OpenAlexW4294609179WikidataQ114220128 ScholiaQ114220128MaRDI QIDQ6089314

Arun Maiti

Publication date: 14 December 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10147

zbMATH Keywords

geodesicsHochschild homologystring topology

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45)

Cites Work

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• Loop products and closed geodesics
• Cyclic homology and equivariant homology
• On the average indices of closed geodesics
• The free loop space of globally symmetric spaces
• The homology theory of the closed geodesic problem
• The rational homotopy type of configuration spaces of two points.
• A homotopy theoretic realization of string topology
• Periodic geodesics on compact Riemannian manifolds
• Morse theory on Hilbert manifolds
• Nondegenerate critical manifolds
• On the iteration of closed geodesics and the sturm intersection theory
• Poincaré duality and commutative differential graded algebras
• A Morse theoretic description of string topology
• On the lengths of closed geodesics on a two-sphere
• Open problems and questions about geodesics
• Morse theory, closed geodesics, and the homology of free loop spaces

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