On the string topology category of compact Lie groups

DOI10.1016/J.AIM.2014.05.002zbMath1309.55006arXiv1301.2688OpenAlexW2962851770WikidataQ115362051 ScholiaQ115362051MaRDI QIDQ2453570

Shoham Shamir

Publication date: 10 June 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2688

zbMATH Keywords

stratificationHochschild cohomologycompletionlocalizationstring topology

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Localization and completion in homotopy theory (55P60) String topology (55P50)

Cites Work

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• Stratifying modular representations of finite groups.
• Duality in algebra and topology
• Hochschild cohomology and stratifying ideals.
• Stratifying derived categories of cochains on certain spaces
• Complete modules and torsion modules
• Stratifying triangulated categories
• Open-closed field theories, string topology, and Hochschild homology
• HZ -algebra spectra are differential graded algebras
• String topology for Lie groups
• Local cohomology and support for triangulated categories
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel

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