کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8905150 1633766 2017 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Noncommutative Kähler structures on quantum homogeneous spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Noncommutative Kähler structures on quantum homogeneous spaces
چکیده انگلیسی
Building on the theory of noncommutative complex structures, the notion of a noncommutative Kähler structure is introduced. In the quantum homogeneous space case many of the fundamental results of classical Kähler geometry are shown to follow from the existence of such a structure, allowing for the definition of noncommutative Lefschetz, Hodge, Kähler-Dirac, and Laplace operators. Quantum projective space, endowed with its Heckenberger-Kolb calculus, is taken as the motivating example. The general theory is then used to show that the calculus has cohomology groups of at least classical dimension.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 322, 15 December 2017, Pages 892-939
نویسندگان
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