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## An A-infinity operad in spineless cacti

Author
Galvez, M.
Type of activity
Report
Date
2015-04-17
Project funding
Geomatría algebraica, simpléctica, aritmética y aplicaciones.
Repository
http://hdl.handle.net/2117/27453
URL
http://arxiv.org/abs/1304.0352
Abstract
The d.g. operad C of cellular chains on the operad of spineless cacti is isomorphic to the Gerstenhaber-Voronov operad codifying the cup product and brace operations on the Hochschild cochains of an associative algebra, and to the suboperad F_2X of the surjection operad. Its homology is the Gerstenhaber operad G. We construct an operad map psi from A-infinity to C such that psi(m_2) is commutative and the homology of psi is the canonical map A \to Com \to G. This formalises the idea that, since ...
Citation
Galvez, M. "An A-infinity operad in spineless cacti". 2015.
Group of research
GEOMVAP - Geometry of Manifolds and Applications