0 A ug 1 99 7 1 ON ALGEBRA GENERATED BY CHERN - BOTT 2 - FORMS ON SL n / B
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چکیده
منابع مشابه
ar X iv : q - a lg / 9 70 80 13 v 1 1 3 A ug 1 99 7 Higher Order Differential Calculus on SL q ( N )
Let Γ be a bicovariant first order differential calculus on a Hopf algebra A. There are three possibilities to construct a differential AE0-graded Hopf algebra Γ ∧ which contains Γ as its first order part. In all cases Γ ∧ is a quotient Γ ∧ = Γ ⊗ /J of the tensor algebra by some suitable ideal. We distinguish three possible choices uJ , sJ , and W J , where the first one generates the universal...
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1 Background and Motivation We start with an example of affine Kac-Moody algebras and the Virasoro algebra. In this talk, F will be a field with characteristic 0, and all the vector spaces are assumed over F. Denote by Z the ring of integers and by N the set of nonnegative integers. Let 2 ≤ n ∈ N. Set sl(n,F) = {A ∈ Mn×n(F) | tr A = 0}, (1.1) 〈A,B〉 = tr AB for A,B ∈ sl(n,F), (1.2) where Mn×n(F)...
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We analyze the hamiltonian quantization of Chern-Simons theory associated to the real group SL(2, C) R , universal covering of the Lorentz group SO(3, 1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface. Our main result is a construction of a unitary representation of this algebra. For this purpose we use the formalism of comb...
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For a smooth family F of admissible elliptic pseudodifferential operators with differential form coefficients associated to a geometric fibration of manifolds π : M → B we show that there is a natural zeta-form ζθ(F, s) and zetadeterminant-form detζ,θ(F) in the de-Rham algebra of smooth differential forms A(B), generalizing the classical single operator spectral zeta function and determinant. I...
متن کاملOn the arithmetic Chern character
of the underlying vector bundles on X , (i.e. in which we ignore the hermitian metrics). Then the difference ĉh(E0) + ĉh(E2)− ĉh(E1), is represented by a secondary characteristic class c̃h first introduced by Bott and Chern [1] and defined in general in [2]. These Bott-Chern forms measure the defect in additivity of the Chern forms associated by Chern-Weil theory to the hermitian bundles in the ...
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تاریخ انتشار 1997