کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11028537 | 1646775 | 2018 | 47 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Shifted Poisson structures and moduli spaces of complexes
ترجمه فارسی عنوان
ساختار پواسون تغییر یافته و فضاهای مجتمع مجتمع
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
چکیده انگلیسی
In this paper we study the moduli stack of complexes of vector bundles (with chain isomorphisms) over a smooth projective variety X via derived algebraic geometry. We prove that if X is a Calabi-Yau variety of dimension d then this moduli stack has a (1âd)-shifted Poisson structure. In the case d=1, we construct a natural foliation of the moduli stack by 0-shifted symplectic substacks. We show that our construction recovers various known Poisson structures associated to complex elliptic curves, including the Poisson structure on Hilbert scheme of points on elliptic quantum projective planes studied by Nevins and Stafford, and the Poisson structures on the moduli spaces of stable triples over an elliptic curves considered by one of us. We also relate the latter Poisson structures to the semi-classical limits of the elliptic Sklyanin algebras studied by Feigin and Odesskii.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 991-1037
Journal: Advances in Mathematics - Volume 338, 7 November 2018, Pages 991-1037
نویسندگان
Zheng Hua, Alexander Polishchuk,