The homotopy invariance of the string topology loop product and string bracket

DOI10.1112/jtopol/jtn001zbMath1146.55002arXivmath/0509667OpenAlexW1983603594MaRDI QIDQ3507696

John R. Klein, Ralph L. Cohen, Dennis Sullivan

Publication date: 20 June 2008

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509667

Mathematics Subject Classification ID

Discriminantal varieties and configuration spaces in algebraic topology (55R80) Products and intersections in homology and cohomology (55N45)

Related Items

String topology on Gorenstein spaces ⋮ Topology. Abstracts from the workshop held July 24--30, 2022 ⋮ String topology in three flavors ⋮ An algebraic chain model of string topology ⋮ String bracket and flat connections ⋮ Infinity structure of Poincaré duality spaces. With an appendix by Dennis Sullivan ⋮ Floer homology of cotangent bundles and the loop product ⋮ Loop products and closed geodesics ⋮ Nearly Frobenius algebras ⋮ A tower connecting gauge groups to string topology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Poincaré duality embeddings and fiberwise homotopy theory
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Truncated symmetric products and configuration spaces
• Spaces of arcs and configuration spaces of manifolds
• Configuration spaces are not homotopy invariant
• Multiplicative properties of Atiyah duality
• A homotopy theoretic realization of string topology
• On the homotopy invariance of configuration spaces
• Geometric topology. Localization, periodicity and Galois symmetry. The 1970 MIT Notes. Edited by A. Ranicki
• Obstructions to concordance for thickenings
• Spaces satisfying Poincaré duality
• On the structure of Poincaré duality spaces
• Poincare Duality Embeddings and Fibrewise Homotopy Theory, II
• LOOP HOMOLOGY AS FIBREWISE HOMOLOGY