Loop coproduct in Morse and Floer homology

DOI10.1007/s11784-023-01061-zzbMath1525.53087arXiv2008.13168OpenAlexW4287662901MaRDI QIDQ6171182

Kai Cieliebak, Nancy Hingston, Alexandru Oancea

Publication date: 17 July 2023

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.13168

zbMATH Keywords

Morse theorycotangent bundleloop spacesymplectic homologyRabinowitz Floer homologypair-of-pants coproductsRabinowitz loop homologyViterbo isomorphism

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Differential topological aspects of diffeomorphisms (57R50)

Related Items

String topology in three flavors

Cites Work

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• Local systems on the free loop space and finiteness of the Hofer-Zehnder capacity
• A note on the Chas-Sullivan product
• Loop coproducts in string topology and triviality of higher genus TQFT operations
• Floer homology and the heat flow
• Floer homology of cotangent bundles and the loop product
• Fibered symplectic cohomology and the Leray-Serre spectral sequence
• Loop products and closed geodesics
• The Viterbo transfer as a map of spectra
• Symplectic homology and the Eilenberg-Steenrod axioms
• Equivariant moduli problems, branched manifolds, and the Euler class
• Pseudo-holomorphic curves and periodic orbits on cotangent bundles
• Functors and computations in Floer homology with applications. I
• Symplectic and contact differential graded algebras
• On the almost-complex structure of tangent bundles of Riemannian spaces
• On Product Structures in Floer Homology of Cotangent Bundles
• Rabinowitz Floer homology and symplectic homology
• On the Floer homology of cotangent bundles
• The Role of the Legendre Transform in the Study of the Floer Complex of Cotangent Bundles
• The role of string topology in symplectic field theory
• A Morse theoretic description of string topology
• A smooth pseudo-gradient for the Lagrangian action functional
• String Topology in Dimensions Two and Three
• Symplectic cohomology and Viterbo's theorem
• Topological quantum field theory structure on symplectic cohomology
• Corrigendum: On the Floer Homology of Cotangent Bundles
• Geometry and spectra of compact Riemann surfaces
• Riemannian geometry of contact and symplectic manifolds
• Vector fields on spheres