کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1894659 1533740 2015 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An E∞-extension of the associahedra and the Tamarkin cell mystery
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
An E∞-extension of the associahedra and the Tamarkin cell mystery
چکیده انگلیسی
In this note based on the author's communication with M. Batanin, we study a cofibrant E∞-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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 98, December 2015, Pages 446-471
نویسندگان
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