Cartan calculus in string topology

DOI10.1090/PROC/16658arXiv2305.01286OpenAlexW4386708687MaRDI QIDQ6203210

Takahito Naito

Publication date: 27 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.01286

zbMATH Keywords

rational homotopy theoryfree loop spacestring topologyCartan calculus

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop spaces (55P35) String topology (55P50)

Cites Work

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• Adams operations in Hochschild and cyclic homology of de Rham algebra and free loop spaces
• Décompositions de l'homologie cyclique des algèbres différentielles graduées commutatives. (Decompositions of cyclic homology of commutative differential graded algebras)
• The homology theory of the closed geodesic problem
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• A homotopy theoretic realization of string topology
• Dual Hodge decompositions and derived Poisson brackets
• Rational BV-algebra in string topology
• Monoid of self-equivalences and free loop spaces
• Hodge decomposition of string topology
• Higher Brackets on Cyclic and Negative Cyclic (Co)Homology

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