کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658909 1344293 2013 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Batalin–Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
A Batalin–Vilkovisky algebra structure on the Hochschild cohomology of truncated polynomials
چکیده انگلیسی

We calculate the Batalin–Vilkovisky, and the induced Gerstenhaber structures of the Hochschild cohomology of the singular R-cochain complex of n-dimensional K-projective spaces, where K=C,HK=C,H and R=ZR=Z and any field. In the special case that K=CK=C, n=1n=1 and R=ZR=Z, we show that this structure cannot be identified with the BV-structure of the integral loop homology of the 2-dimensional sphere computed by L. Menichi, but their induced Gerstenhaber structures can still be identified. Combined with the work of Y. Félix and J. Thomas, the main result of the present paper calculates the BV-structure of the rational loop homology of projective spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 13, 15 August 2013, Pages 1633–1651
نویسندگان
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