کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425467 1633803 2015 58 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Operadic categories and duoidal Deligne's conjecture
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Operadic categories and duoidal Deligne's conjecture
چکیده انگلیسی

The purpose of this paper is two-fold. In Part 1 we introduce a new theory of operadic categories and their operads. This theory is, in our opinion, of an independent value.In Part 2 we use this new theory together with our previous results to prove that multiplicative 1-operads in duoidal categories admit, under some mild conditions on the underlying monoidal category, natural actions of contractible 2-operads. The result of D. Tamarkin on the structure of dg-categories, as well as the classical Deligne conjecture for the Hochschild cohomology, is a particular case of this statement.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 285, 5 November 2015, Pages 1630-1687
نویسندگان
, ,