Đề tài " Classification of prime 3manifolds with σ-invariant greater than RP3 " docx

... 2002. (Received July 27, 2002) Annals of Mathematics Classification of prime 3- manifolds with σ-invariant greater than RP3 By Hubert L. Bray and Andr´e Neves Annals of Mathematics, 159 (2004), ... σ-invariants of finite con- nect sums of one or more S 2 bundles over S 1 with one or more of RP 3 and RP 2 × S 1 . At the time of the publication of th...

Ngày tải lên: 22/03/2014, 16:20

... classification of matrices with nonnegative integer entries in the commutant of the unitary representations of SL(2, Z) arising from the Vi- rasoro net Vir c with c<1. Such modular invariants of the ... fixed-point net of the SU(2) 1 net with the action of SU(2). That is, for each closed subgroup of SU(2), we have a fixed point net, which is an irreducible local extension...

Ngày tải lên: 14/02/2014, 17:20

... M, endowed with the weak topology of distributions. This is known in the liter- ature as the formal set of barycenters of M (of order k); see [3], [4], [9]. We stress that this set is NOT the family of ... boundedness of (u l ) l and the fact that u l  u 0 weakly in H 2 (M). 6. Appendix In this section we collect the most technical proofs of the paper, namely those of Lemmas...

Ngày tải lên: 15/03/2014, 09:20

... category). This property of D b (mod c λ (  D)) will be derived from the triviality of the canonical class of  g ∗ . Remark 3. One can give another proof of Theorem 3.2 with a stronger restriction ... d(χ)isthe differential of a character χ of T then AS(λ)=0;thusT ∗ AS(λ) X = T ∗ X.In this case D λ X is identified with the sheaf O χ D X ∼ = O χ ⊗D X ⊗O χ −1 of differential op...

Ngày tải lên: 16/02/2014, 06:20

... the first part of the proof. We assume now that all prime divisors of d are inert or ramified in K. Let S be the set of prime divisors of dD, and assume we are given a partition of S into two disjoint ... Z p -extension with unique inter- mediate extensions F n /F of degree p n . The vanishing of the µ-invariant of F ∞ /F implies by a well-known result of Iwasawa that th...

Ngày tải lên: 06/03/2014, 08:21

... sequence was found with Algorithm 4.1 for m =2. For several values of m greater than 2, Algorithm 4.1, starting with F 0 (x)=1− x, produces a sequence of auxiliary polynomials of the form (1 − ... appearance of a decreasing sequence of values of b k of a particular length. 358 P. BORWEIN, E. DOBROWOLSKI, AND M. J. MOSSINGHOFF We remark that a pure hill-climbing method wo...

Ngày tải lên: 15/03/2014, 09:20

... the ideal of smoothing operators. The topology of Ψ bc (X) is given in terms of the conormal seminorms of the Schwartz kernel K of its elements; these seminorms can be stated in terms of the Besov ... Ψ m b (X) → C ∞ ( b T ∗ X \ o) with values in homogeneous functions of degree m; the range can of course also be identified with C ∞ ( b S ∗ X) if m = 0 (and with sections...

Ngày tải lên: 15/03/2014, 09:20

... the simplest case of a transport equation with a nonlocal velocity and with a viscous term involving powers of the laplacian. It is well known that the equivalent equation with a local velocity ... operator of ω. If we take an x derivative of (1.1) and define θ x ≡ ω we obtain a vis- cous version of the equation (1.3) with v = −Hθ which is similar to the one proposed in [6] a...

Ngày tải lên: 29/03/2014, 07:20

... asymptotically strong Feller at x, then x ∈ supp µ ∩supp ν. Proof. By Corollary 3.5, the proof of this result is a simple rewriting of the proof of the corresponding result for strong Feller semigroups. For ... completes the proof of Propo- sition 4.4. Annals of Mathematics Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing By Martin Hairer...

Ngày tải lên: 29/03/2014, 07:20

... process is done with the assistance of EDA tools. Logic synthesis tools convert the RTL description to a gate-level netlist. A gate-level netlist is a description of the circuit in terms of gates ... to analyze the design in terms of functionality, performance, compliance to standards, and other high-level issues. Behavioral descriptions are often written with HDLs. [2] [2]...

Ngày tải lên: 21/01/2014, 17:20