Đề tài " Holomorphic disks and threemanifold invariants: Properties and applications " ppt

... HF ∞ (Y,s) ∼ = T ∞ . Annals of Mathematics Holomorphic disks and three- manifold invariants: Properties and applications By Peter Ozsv´ath and Zolt´an Szab´o* HOLOMORPHIC DISKS AND THREE-MANIFOLD INVARIANTS 1177 4. ... γ. Annals of Mathematics, 159 (2004), 1159–1245 Holomorphic disks and three-manifold invariants: Properties and applications By P...

Ngày tải lên: 05/03/2014, 23:20

... f Annals of Mathematics Holomorphic disks and topological invariants for closed three-manifolds By Peter Ozsv´ath and Zolt´an Szab´o HOLOMORPHIC DISKS AND THREE-MANIFOLD INVARIANTS 1045 connecting ... unparametrized J s -holomorphic disks is the quotient  M J s (φ)= M J s (φ) R . HOLOMORPHIC DISKS AND THREE-MANIFOLD INVARIANTS 1049 The word “disk” is used,...

Ngày tải lên: 05/03/2014, 23:20

... 9.6 Validate Data Passed to Properties and Communicate Errors to Developers To make a class that wraps up access to a table, it is critical that the class -and not the developer who is using ... (France has eight-digit numbers, Spain has nine, and the U.S. has ten), we do know that only numbers and characters such as periods, parentheses, and hyphens are allowed. You also need...

Ngày tải lên: 24/12/2013, 06:17

... strictly positive for every J ∈J and almost every x ∈ ∆, and depends continuously on J for almost 646 ARTUR AVILA AND GIOVANNI FORNI every x. Thus, for every δ>0 and J ∈J, there exists C δ (J) ... Nogueira-Rudolph [NR], we define π ∈ S d to be standard if π(1) = d and π(d) = 1. They proved that every Rauzy class contains at least 656 ARTUR AVILA AND GIOVANNI FORNI one standard p...

Ngày tải lên: 16/02/2014, 06:20

... = 2and let θ  and θ be two matrices from M(3, k ∗ ). If q(θ  )=q(θ) then the abelian categories coh(P θ  (a 0 ,a 1 ,a 2 )) and coh(P θ (a 0 ,a 1 ,a 2 )) are equivalent. 2.6. DG algebras and ... the case where X and Σ 0 are affine Calabi-Yau manifolds, and the spheres L i can be lifted to graded Lagrangian submanifolds of Σ 0 , e.g. by fixing a holomorphic volume form on Σ 0 and...

Ngày tải lên: 16/02/2014, 06:20

... matrices of S and P (∞) are not uniformly close to each other near the origin and near the endpoints of [a t , b t ]. We surround a 1 and b 1 (the endpoints of S V ) with small disks U δ (a) and U δ (b) ... Multi-critical unitary random matrix ensembles and the general Painlev_e II equation By T. Claeys, A.B.J. Kuijlaars, and M. Vanlessen MULTI-CRITICAL UNITARY RA...

Ngày tải lên: 15/03/2014, 09:20

... Γ-algebra A and elements η ∈ KK Γ i (C,A) and d ∈ KK Γ i (A, C), such that β A  ⊗ B (resp. β A  ⊗ B red ) is injective and p ∗ Y (η ⊗ A d)=1 Y , where p Y is the map Y → point and p ∗ Y is ... I(R). For x ∈ X and S ∈ ∆, put A S,x = {a ∈ U S ,d(x, a) ≤ d(x, U S )+2δ } and C S,x = {c ∈ S, d(x, c) ≥ max{d(x, y) ,y∈ S }−2δ }. For x ∈ X, S∈ ∆ and r ∈ R + ,weset Y S,x,r =  y∈B(x,r)...

Ngày tải lên: 28/03/2014, 22:20

... 1.8(iii) that a holomorphic function  f g : B ω C → a C with ag ∈ K C exp(  f g (a))N C for a ∈ B ω C exists. Now B conv ω C is the holomorphic hull of B ω C and so  f g extends to a holomorphic ... 1 ≤ j ≤ m − 1}   . 652 BERNHARD KR ¨ OTZ AND ROBERT J. STANTON Both b 0 and b  are closed, convex and W a -invariant. Thus by the convexity of b 0 and b  we have to show onl...

Ngày tải lên: 28/03/2014, 22:20

... U i (x L )U i (x R ) (for i =1, 2, 3) and A −1 1 A 4 A 1 A −2 4 = U 4 (x L )U 4 (x R ), and [x L j ,x R k ] = 1 for all j,k ∈{1, 2, 3}, and A ε i x L j A −ε i = V ijε (x L ) and A ε i x R j A −ε i = V ijε (x R ) ... Martin R. Bridson and Fritz J. Grunewald Abstract In 1970 Alexander Grothendieck [6] posed the following problem: let Γ 1 and Γ 2 be finitely presented, residually finit...

Ngày tải lên: 28/03/2014, 22:20

... chảy tổng quát và chi tiết của sơ đồ dòng dữ liệu và các thông tin cần quản lý(các bảng biểu, tài liệu chuyên ngành ) xác định được các tập thực thể và thuộc tính ban đầu của chúng như sau: ... Chức vụ: Số hộ khẩu : Cấp tại: Ngày cấp : Số điện thoại liên lạc: Địa chỉ thu cước hàng tháng: Đề nghị lắp đặt và cung cấp dịch vụ: Điện thoại Fax Mạng máy tính/Modem truyền số liệu Tổng ....

Ngày tải lên: 12/12/2013, 19:15