کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4667179 | 1345443 | 2010 | 51 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hochschild cohomology and Atiyah classes
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper we prove that on a smooth algebraic variety the HKR-morphism twisted by the square root of the Todd genus gives an isomorphism between the sheaf of poly-vector fields and the sheaf of poly-differential operators, both considered as derived Gerstenhaber algebras. In particular we obtain an isomorphism between Hochschild cohomology and the cohomology of poly-vector fields which is compatible with the Lie bracket and the cupproduct. The latter compatibility is an unpublished result by Kontsevich.Our proof is set in the framework of Lie algebroids and so applies without modification in much more general settings as well.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 224, Issue 5, 1 August 2010, Pages 1839-1889
Journal: Advances in Mathematics - Volume 224, Issue 5, 1 August 2010, Pages 1839-1889