منابع مشابه
Resurgence of the Kontsevich-zagier Power Series
Abstract. Perturbative quantum field theory associates formal power series invariants to knotted objects, that is to knots or homology 3-spheres. These formal power series are known to be Gevrey, and are expected to be factorially divergent, and somehow linked to quantum invariants of knotted objects at complex roots of unity. The latter are the well-known Witten-Reshetikhin-Turaev invariants o...
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We give an explicit formula for the Borel transform of the power series when q = e1/x from which its analytic continuation, its singularities (all on the positive real axis) and the local monodromy can be manifestly determined. We also give two formulas (one involving the Dedekind eta function, and another involving the complex error function) for the right, left and median summation of the Bor...
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چکیده ندارد.
15 صفحه اولThe Zagier – Broadhurst formula
11 The Zagier–Broadhurst formula Theorem 41. For any n ≥ 1, ζ ï¿¿ {3, 1} n ï¿¿ = 1 2 2n ζ ï¿¿ {4} n ï¿¿ .
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Given a finite dimensional representation of a semisimple Lie algebra there are two ways of constructing link invariants: 1) quantum group invariants using the R-matrix, 2) the Kontsevich universal link invariant followed by the Lie algebra based weight system. Le and Murakami showed that these two link invariants are the same. These constructions can be generalized to some classes of Lie super...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2011
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2639