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For a symplectic manifold $(M,\omega)$, not necessarily hard Lefschetz, we prove a version of the Merkulov $d\delta$--lemma. We also study the $d\delta$--lemma and related cohomologies for compact symplectic solvmanifolds.

Symplectic Geometry · Mathematics 2007-05-23 Marisa Fernández , Vicente Muñoz , Luis Ugarte

The current status of some methods to determine the weak phase $\gamma$ of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element $V^*_{ub}$ using B decays is discussed, and comments are made on accuracy achievable in the next few years.

High Energy Physics - Phenomenology · Physics 2014-11-17 Jonathan L. Rosner

In this paper we study the spectrum of weak uniform Diophantine exponents of lattices and obtain its complete description in the two-dimensional case.

Number Theory · Mathematics 2025-07-08 Oleg N. German

In this note, we establish several results concerning the continuity (or weak convergence) of the complex Monge-Amp\`ere operator on compact Hermitian manifolds. At the end of this note, we find a weak solution of the complex Monge-Amp\`ere…

Complex Variables · Mathematics 2026-03-31 Le Mau Hai , Nguyen Van Phu , Trinh Tung

The purpose of this paper is to provide a proof of James' weak compactness theorem that is able to be taught in a first year graduate class in functional analysis.

Functional Analysis · Mathematics 2017-05-19 Warren B. Moors , Samuel White

I present a compilation of results on B->light meson form factors from QCD sum rules on the light-cone.

High Energy Physics - Phenomenology · Physics 2007-05-23 Patricia Ball

In this paper we prove that if $\Lambda\in M_p(\mathbb R^N)$ and has compact support then $\Lambda$ is a weak summability kernel for $1<p<\infty$, where $M_p(\mathbb R^N)$ is the space of multipliers of $L^p(\mathbb R^N)$.

Functional Analysis · Mathematics 2007-05-23 P. Mohanty , S. Madan

Recent results obtained from B decays on the phases of weak couplings described by the Cabibbo-Kobayashi-Maskawa (CKM) matrix are discussed, with particular emphasis on $\alpha$ and $\gamma = \pi - \beta - \alpha$.

High Energy Physics - Phenomenology · Physics 2007-05-23 Jonathan L. Rosner

I review recent developments in lattice weak matrix element calculations. I focus on on $f_B$ (both with propagating quarks and in the static limit for the $b$ quark), semi-leptonic form factors for $D$ meson decay, form factors for $B \to…

High Energy Physics - Lattice · Physics 2009-10-22 Claude Bernard

In this paper, we shall study existence of weak solutions to complex Hessian equations. With appropriate assumptions, it is possible to obtain weak solutions in pluripotential sense.

Analysis of PDEs · Mathematics 2023-05-11 Wei Sun

In this paper, we show that the optimal fundamental estimate holds true on a weakly $1$-complete manifold with mild conditions, then we establish the weak Morse inequalities for lower energy forms on the manifold. We also study the case for…

Complex Variables · Mathematics 2024-07-08 Xiquan Peng , Guokuan Shao , Wenxuan Wang

In this paper we describe the spectrum of values of weak uniform Diophantine exponents of lattices in arbitrary dimension.

Number Theory · Mathematics 2026-03-09 Oleg N. German

This presentation reviews the Standard Model formalism governing the weak decays of quarks, as embodied in the Cabibbo-Kobayashi-Maskawa (CKM) weak mixing matrix, and summarizes the experimental status and outlook. Two recent CLEO V_cb…

High Energy Physics - Phenomenology · Physics 2007-05-23 Brian K. Heltsley

Lecture notes on Weak Topologies: We discuss about the weak and weak star topologies on a normed linear space. Our aim is to prove the well known Banach-Alaouglu theorem and discuss some of its consequences, in particular, characterizations…

Functional Analysis · Mathematics 2020-10-06 G. Ramesh

We generalize the notion of an exact category and introduce weakly exact categories. A proof of the snake lemma in this general setting is given. Some applications are given to illustrate how one can do homological algebra in a weakly exact…

Category Theory · Mathematics 2009-01-19 Amir Jafari

In this paper, we get an elementary and important lemma(See Lemma 3.2) which is about pushout and pullback of modules. And we prove a weak form of a long open conjecture on vanishing of group cohomology for blocks.

Group Theory · Mathematics 2021-03-26 Heguo Liu , Xingzhong Xu , Jiping Zhang

A major part of this paper is devoted to an in-depth study of j-operators and their properties. This study enables us to obtain several results on liftings and weak liftings of DG modules along simple extensions of DG algebras and unify the…

Commutative Algebra · Mathematics 2020-12-01 Saeed Nasseh , Maiko Ono , Yuji Yoshino

In this paper, we shall study the existence of weak solutions to Hessian type equations on compact Riemannian manifolds without boundary.

Analysis of PDEs · Mathematics 2025-02-06 Zhenan Sui , Wei Sun

We show a general existence theorem to the complex Monge-Amp\`ere type equation on compact K\"ahler manifolds.

Complex Variables · Mathematics 2017-08-02 Slimane Benelkourchi

We survey results on compact Clifford-Klein forms of homogeneous spaces, with a focus on recent contributions and organized around approaches via topology, geometry and dynamics. In addition, we survey results on moduli spaces of compact…

Differential Geometry · Mathematics 2013-07-09 David Constantine
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