A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
نویسندگان
چکیده
منابع مشابه
Bundles over Quantum RealWeighted Projective Spaces
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed. As the spaces in question fall into two separate classes, the negative or odd class that generalises quantum real projective planes and the positive or even class that genera...
متن کاملOn Semistable Principal Bundles over a Complex Projective Manifold, Ii
Let (X, ω) be a compact connected Kähler manifold of complex dimension d and EG −→ X a holomorphic principal G–bundle, where G is a connected reductive linear algebraic group defined over C. Let Z(G) denote the center of G. We prove that the following three statements are equivalent: (1) There is a parabolic subgroup P ⊂ G and a holomorphic reduction of structure group EP ⊂ EG to P , such that ...
متن کاملOn Semistable Principal Bundles over a Complex Projective Manifold
Let G be a simple linear algebraic group defined over the field of complex numbers. Fix a proper parabolic subgroup P of G, and also fix a nontrivial antidominant character χ of P . We prove that a holomorphic principal G–bundle EG over a connected complex projective manifold M is semistable satisfying the condition that the second Chern class c2(ad(EG)) ∈ H (M, Q) vanishes if and only if the l...
متن کاملOn Stable Vector Bundles over Real Projective Spaces
If X is a connected, finite CJF-complex, we can define iKO)~iX) to be [X, BO] (base-point preserving homotopy classes of maps). Recall [2] that if xEiKO)~iX), the geometrical dimension of x (abbreviated g.dim x) can be defined to be the smallest nonnegative integer k such that a representative of x factors through BO(k). If $ is a vector bundle over X, the class in (PO)~(X) of a classifying map...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2008
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2008/03/029