Tài liệu Đề tài " Classification of local conformal nets Case c doc

... ···, respectively. Annals of Mathematics Classification of local conformal nets. Case c < 1 By Yasuyuki Kawahigashi and Roberto Longo CLASSIFICATION OF LOCAL CONFORMAL NETS 511 m ... MIUR and GNAMPA-INDAM. CLASSIFICATION OF LOCAL CONFORMAL NETS 521 [41] A. Kirillov Jr. and V. Ostrik ,Onq-analog of McKay correspondence and ADE classi- fication o...

Ngày tải lên: 14/02/2014, 17:20

... finite collection of ends of a complete embedded noncompact minimal surface Σ of finite total curvature with compact bound- ary are asymptotic to a finite collection of pairwise disjoint ends of planes ... cycle of Γ contained in the interior of B. Then F is reducible. Proof. Let C be the nontrivial cycle of Γ contained in the interior of B. Notice that F is a Heegaard surfac...

Ngày tải lên: 16/02/2014, 06:20

Ngày tải lên: 14/02/2014, 07:20

... R). Because Γ is a finite index subgroup of SL(2, ) 2k , X R represents the characteristic function of a set in Γ\G k , whose complement is compact. 436 JENS MARKLOF By construction, the function ... partly confirms a conjecture of Berry and Tabor [2] on spectral statistics of quantized integrable systems, and also establishes a particular case of the quantitative version of the O...

Ngày tải lên: 14/02/2014, 16:20

... contractible. (ii) Using the topological description of an irreducible projective curve as the wedge of a smooth curve of genus g and m circles, we see that for an irreducible plane curve C of ... Koszulness of U ⊗ follows. (ii) Everything is a direct consequence of Theorem 20 and Corollary 21 (ii), except the fact that the augmented chain complex (18) is acyclic. It is enough t...

Ngày tải lên: 14/02/2014, 16:20

... topological action of G 0 on the product of the conjugate curves ( ¯ C  1 × ¯ C  2 ), which is of product type, yields actions of G 0 on the respective factors ¯ C  1 , ¯ C  2 which are of the ... irreducible and connected or it contains two connected components which are exchanged by complex conjugation. Proof. The only modification in the proof given in [Cat6] occurs on...

Ngày tải lên: 14/02/2014, 16:20

... that each completely bounded cocycle is a coboundary, completing the proof. Remark 6.5. By [39, Chapter 3], cohomology can be reduced to the consideration of normal R-multimodular maps which, in ... all cocycles and coboundaries to be completely bounded, we may de- fine the completely bounded Hochschild cohomology groups H k cb (M, M) and H k cb (M,B(H)) analogously to the continuous case....

Ngày tải lên: 14/02/2014, 17:20

... Howard Masur for his excellent guidance. 2. Cantor set of nonergodic directions We b egin with the proof of Lemma 1.1, which is the recipe for the con- struction of a Cantor set E(λ) ⊂ K(λ). ... dimension of E(λ)isatleast 1/2 under a critical assumption: each slit in V  has enough children. Recall the construction of the Cantor middle-third set. At each stage of the induction, in...

Ngày tải lên: 14/02/2014, 17:20

... time c accross those slices that are perpendicular to direction k, and let C cτ (η)=  d k=1 C k c (η). (These random variables do not depend on N because we consider crossings of all the slices.) ... (c )|−E c ,ε (|V (c )|)    ≥ δ  = −∞.(2.11) Proof. The crucial step is to apply a concentration inequality of Talagrand twice, as follows. First note that, conditioned on X i ,c...

Ngày tải lên: 14/02/2014, 17:20

... restriction to symmetric classes isolates a certain arithmetic part of the class group of the corresponding order. In the current case, if R(f) is the cubic ring corresponding to the cubic form ... In the case of pairs of ternary quadratic forms, we show that the corresponding groups are equal roughly to the 2-parts of the ideal class groups of cubic rings. In the case of p...

Ngày tải lên: 14/02/2014, 17:20