Loop coproducts in string topology and triviality of higher genus TQFT operations

DOI10.1016/j.jpaa.2009.07.011zbMath1201.55003arXiv0706.1276OpenAlexW2963062024WikidataQ59410725 ScholiaQ59410725MaRDI QIDQ847146

Hirotaka Tamanoi

Publication date: 12 February 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1276

zbMATH Keywords

TQFTfree loop spacestring topology

Mathematics Subject Classification ID

Loop spaces (55P35) Manifolds of mappings (58D15) String topology (55P50)

Related Items

On the whistle cobordism operation in string topology of classifying spaces ⋮ Derived string topology and the Eilenberg-Moore spectral sequence ⋮ Product and coproduct in string topology ⋮ String topology in three flavors ⋮ Loop coproduct in Morse and Floer homology ⋮ Spectral sequences in string topology ⋮ Coproducts in brane topology ⋮ Cap products in string topology ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces ⋮ Rational model for the string coproduct of pure manifolds

Cites Work

• Cap products in string topology
• A homotopy theoretic realization of string topology
• String Topology in Dimensions Two and Three
• Stable String Operations Are Trivial
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