کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597921 1336238 2009 40 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Wheeled PROPs, graph complexes and the master equation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Wheeled PROPs, graph complexes and the master equation
چکیده انگلیسی

We introduce and study wheeled PROPs, an extension of the theory of PROPs which can treat traces and, in particular, solutions to the master equations which involve divergence operators. We construct a dg free wheeled PROP whose representations are in one-to-one correspondence with formal germs of SP-manifolds, key geometric objects in the theory of Batalin–Vilkovisky quantization. We also construct minimal wheeled resolutions of classical operads Com and Ass as non-trivial extensions of the well-known dg operads Com∞ and Ass∞. Finally, we apply the above results to a computation of cohomology of a directed version of Kontsevich’s complex of ribbon graphs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 213, Issue 4, April 2009, Pages 496–535
نویسندگان
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