The Batalin–Vilkovisky Algebra in the String Topology of Classifying Spaces
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Publication:5224975
DOI10.4153/CJM-2018-021-9zbMath1422.55024OpenAlexW2909457720MaRDI QIDQ5224975
Katsuhiko Kuribayashi, Luc Menichi
Publication date: 25 July 2019
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-2018-021-9
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) String topology (55P50)
Related Items (3)
On the whistle cobordism operation in string topology of classifying spaces ⋮ Derived string topology and the Eilenberg-Moore spectral sequence ⋮ Behavior of the Eilenberg-Moore spectral sequence in derived string topology
Cites Work
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- A Batalin-Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials
- Gerstenhaber duality in Hochschild cohomology
- Loop groups and twisted \(K\)-theory. III
- String topology on Gorenstein spaces
- Loop coproducts in string topology and triviality of higher genus TQFT operations
- On the cohomology of free and twisted loop spaces
- Derived string topology and the Eilenberg-Moore spectral sequence
- String topology for spheres
- Cap products in string topology
- Module derivations and the adjoint action of a finite loop space
- Universal enveloping algebras and loop space homology
- Free loop space homology of highly connected manifolds
- On string topology of classifying spaces
- Higher operations in string topology of classifying spaces
- String homology of spheres and projective spaces
- Homotopy groups of the space of homeomorphisms on a 2-manifold
- On the structure of Hopf algebras
- Teichmüller theory for surfaces with boundary
- On the loop homology of complex projective spaces
- String topology of classifying spaces
- A Batalin-Vilkovisky algebra morphism from double loop spaces to free loops
- String topology for Lie groups
- Rational BV-algebra in string topology
- Stable String Operations Are Trivial
- Characteristic Classes. (AM-76)
- Homeomorphisms of a Surface which Act Trivially on Homology
- Adjoint action of a finite loop space
- Module derivations and cohomological splitting of adjoint bundles
- Batalin-Vilkovisky Lie algebra structure on the loop homology of complex Stiefel manifolds
- The cohomology ring of free loop spaces
- On the cohomology algebra of a fiber
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