Batalin-Vilkovisky algebras and the \(J\)-homomorphism

DOI10.1016/j.topol.2008.07.013zbMath1191.55004arXiv0707.3103OpenAlexW2963862793MaRDI QIDQ2378301

Luc Menichi, Gerald Gaudens

Publication date: 7 January 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3103

zbMATH Keywords

\(J\)-homomorphismiterated loop spaceBatalin-Vilkovisky algebraframed little \(n\)-disks operad

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Loop space machines and operads in algebraic topology (55P48) (J)-morphism (55Q50)

Related Items (3)

A spectral sequence for the homology of a finite algebraic delooping ⋮ A Batalin-Vilkovisky algebra morphism from double loop spaces to free loops ⋮ Connes-Moscovici characteristic map is a Lie algebra morphism.

Cites Work

• String topology for spheres
• The homology of iterated loop spaces
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• On configuration spaces, their homology, and Lie algebras
• The geometry of iterated loop spaces
• Framed Discs Operads and Batalin-Vilkovisky Algebras
• Introduction to homotopy theory
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