String topology of classifying spaces

DOI10.1515/CRELLE.2011.140zbMath1253.55008arXiv0801.0174OpenAlexW2963235379MaRDI QIDQ2910993

Luc Menichi, David Chataur

Publication date: 12 September 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0174

zbMATH Keywords

conformal field theoryHochschild cohomologyclassifying spacestring topology

Mathematics Subject Classification ID

Loop spaces (55P35) General geometric structures on low-dimensional manifolds (57M50) Loop space machines and operads in algebraic topology (55P48) String topology (55P50)

Related Items (16)

String topology on Gorenstein spaces ⋮ On the Hofer–Zehnder conjecture on ℂPd via generating functions ⋮ Higher operations in string topology of classifying spaces ⋮ On the whistle cobordism operation in string topology of classifying spaces ⋮ Derived string topology and the Eilenberg-Moore spectral sequence ⋮ Van Den Bergh isomorphisms in string topology ⋮ String topology in three flavors ⋮ On rectification and enrichment of infinity properads ⋮ Behavior of the Eilenberg-Moore spectral sequence in derived string topology ⋮ Loop homology of some global quotient orbifolds ⋮ Maurer-Cartan elements and cyclic operads ⋮ A Batalin-Vilkovisky algebra morphism from double loop spaces to free loops ⋮ Twisted Calabi-Yau ring spectra, string topology, and gauge symmetry ⋮ The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces ⋮ Loop product and connected Lie group actions. ⋮ On string topology of classifying spaces

Cites Work

• Gerstenhaber duality in Hochschild cohomology
• String topology for loop stacks
• Topological conformal field theories and Calabi-Yau categories
• Orbifold string topology
• Cyclic homology, derivations, and the free loopspace
• Invariant functions on Lie groups and Hamiltonian flows of surface group representations
• Cyclic homology and algebraic K-theory of spaces. II
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• \(K(n)\)-local duality for finite groups and groupoids
• Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
• On a theorem of Kontsevich
• Equivariant operads, string topology, and Tate cohomology
• The Hochschild Cohomology Ring of a Group Algebra
• Transfer maps for fibrations
• String topology prospectra and Hochschild cohomology

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