An E-infinity-extension of the associahedra and the Tamarkin cell mystery

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10335190" target="_blank" >RIV/00216208:11320/15:10335190 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.geomphys.2015.08.017" target="_blank" >http://dx.doi.org/10.1016/j.geomphys.2015.08.017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2015.08.017" target="_blank" >10.1016/j.geomphys.2015.08.017</a>

Result language
angličtina
Original language name
An E-infinity-extension of the associahedra and the Tamarkin cell mystery
Original language description
In this note based on the author's communication with M. Batanin, we study a cofibrant E-infinity-operad generated by the Fox-Neuwirth cells of the configuration space of points in the Euclidean space. We show that, below the 'critical dimensions' in which 'bad cells' exist, this operad is modeled by the geometry of the Fulton-MacPherson compactification of this configuration space. We analyze the Tamarkin bad cell and calculate the differential of the corresponding generator. We also describe a simpler, four-dimensional bad cell. We finish the paper by proving an auxiliary result giving a characterization, over integers, of free Lie algebras.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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