Đề tài " Projective structures with degenerate holonomy and the Bers density conjecture " potx

... Mathematics Projective structures with degenerate holonomy and the Bers density conjecture By K. Bromberg* Annals of Mathematics, 166 (2007), 77–93 Projective structures with degenerate holonomy ... structures with degenerate holonomy and the Bers density conjecture By K. Bromberg* Abstract We prove the Bers density conjectu...

Ngày tải lên: 06/03/2014, 08:21

... . This completes the proof of the theorem in the case that Q is the image of the unit circle C 1 under a rational affine transformation of the plane. The other two cases are similar. The key is to ... <ψ(Q)/Q  . Proof of Theorem 6 modulo Theorem 7. This is trivial. Given the hy- potheses of Theorem 7, the hypotheses of Theorem 6 are clearly satisfied. Fix an interval I ⊆...

Ngày tải lên: 15/03/2014, 09:20

... rDN( a ) e −2πic(α 0 +j(rDN( a )) −1 ) A cω 1 (rDN( a )) −1 g, and the assertion follows from the above. Arithmeticity and integrality theorem for the bilinear forms. We are now able to state and prove the following proposition on the bilinear forms b and ... unity. This can either be deduced from [MS], or one can verify the commutation relation with the A q −m x for...

Ngày tải lên: 06/03/2014, 08:21

Ngày tải lên: 21/01/2014, 12:20

... for manipulating the sums (0.25). The operator calculus of the formalism is basic to the rest of the paper. In Sections 3 and 5, the formalism is applied to the Gromov-Witten theory of targets of genus 0 and ... equation 4.1. The τ-function 4.2. The string equation 4.3. The Toda hierarchy 5. The Gromov-Witten theory of an elliptic curve GROMOV-WITTEN THEORY, HURWITZ...

Ngày tải lên: 16/02/2014, 05:20

... 52-year history. The European Union (EU) also declared its solidarity with the United States on the day af- ter the attacks, and its members pledged both their individual and their collective ... engage Introduction 3 and negotiate with the EU as a whole rather than with its individual members. Yet neither NATO nor the EU has yet developed the multi- lateral capabili...

Ngày tải lên: 17/02/2014, 11:20

... A α β F β qcd A q p A c a A d b (5.5) and so forth. If we take the exterior differential of the equations (4.18) and use (5.1) and (5.2) together with the Maurer-Cartan structure equations (2.4) we obtain the following ... that the principal curvatures are the constants cot(−t) and cot(π/2 − t), each with multiplicity m and the constants cot(π/4 − t) and cot(3π/4...

Ngày tải lên: 06/03/2014, 08:21

... halfspace is the union of two vertical planes, with half-disks removed, together with the boundary of a half-cylinder which joins the two vertical planes. The path along the top of the half-cylinder ... = L−1 L+1 z z . Continuing with the proof of Theorem 5.1, we separate the proof into two cases. In the case 1 <K<2, apply Lemma 5.2 to D 2 , with L =2/K, p =0...

Ngày tải lên: 22/03/2014, 16:20

... using the above result (with the roles of z and w reversed) together with the observation that if A is a Toeplitz matrix then JA T J = A where J is the matrix with 1’s on the anti-diagonal and ... z n δ(z)  ,(2.1.7) with all blocks of size m ×m, then α(z) and β(z) are lower triangular Toeplitz, and therefore they commute. The matrices γ(z) and δ(z) are upper tria...

Ngày tải lên: 22/03/2014, 16:20

... result. Jarn ´ ık’s theorem. If ψ is monotonic, then Conjecture 2 is true. To be precise, the above theorem follows on combining Khintchine’s the- orem together with Jarn´ık’s theorem as stated in [1, §8.1]; the ... consequences. Theorem 1. Conjecture 1=⇒ Conjecture 2. Theorem 1 together with Theorem PV gives: Corollary 1. For k ≥ 2, Conjecture 2 is true. Theorem 1 gives: Co...

Ngày tải lên: 22/03/2014, 20:20