Let O be a symplectic toric orbifold with a fixed T-action and with a toric Kähler metric g. In [10] we explored whether, when O is a manifold, the equivariant spectrum of the Laplace operator ∆g on C∞(O) determines the moment polytope of O, and hence by Delzant’s theorem determines O up to symplectomorphism. In the setting of toric orbifolds we significantly improve upon our previous results a...

To the Editor: In their recent article, Reinstein et al.1 described the use of the Artemis 2 very high frequency digital ultrasound (ArcScan, Inc., Morrison, CO) to calculate the fit of the Visian Implantable Collamer Lens (ICL). Another parameter previously proposed as influencing ICL vaulting is the crystalline lens anterior radius of curvature (ALR).2 The ALR has not yet been used in any pre...

Dropping separatedness in the definition of a toric variety, one obtains the more general notion of a toric prevariety. Toric prevarieties occur as ambient spaces in algebraic geometry and moreover they appear naturally as intermediate steps in quotient constructions. We first provide a complete description of the category of toric prevarieties in terms of convex–geometrical data, so–called sys...

BACKGROUND With increasing availability of toric intraocular lenses (IOL) for cataract surgery, real-world refractive outcome data is needed to aid the counselling of patients regarding lens choice. We aim to assess the outcomes of toric intraocular lens use in the non-specialist environment of a typical United Kingdom NHS cataract service. METHODS A retrospective cohort study conducted at th...

Department of Ophthalmology, Konyang University, Kim’s Eye Hospital, Seoul 07301, Korea Nune Eye Hospital, Daegu 42019, Korea Department of Ophthalmology and visual science, Seoul St. Mary's Hospital, College of Medicine, the Catholic University of Korea, Seoul 06591, Korea Correspondence to: So-Hyang Chung. Department of Ophthalmology and visual science, Seoul St. Mary’s Hospital, College of M...

Posterior chamber phakic intraocular lens implantation is a refractive technique for the correction of myopia. This study aimed to identify those factors contributing variability in postoperative refraction. Methods: retrospective evaluated 73 eyes (one eye per patient) implanted with myopic implantable collamer lenses (ICL). Eyes were divided into two groups, low group (LMG) (ICL > −9.5 DS)...

We propose a new method to find gravity duals to a large class of three-dimensional Chern-Simons-matter theories, using techniques from dimer models. The gravity dual is given by M-theory on AdS4 ×Y7, where Y7 is an arbitrary seven-dimensional toric SasakiEinstein manifold. The cone of Y7 is a toric Calabi-Yau 4-fold, which coincides with a branch of the vacuum moduli space of Chern-Simons-matt...

In this paper, we give a structure theorem for the derived category D(X) of a toric fibration X over P with fiber Y provided that Y has a full strongly exceptional collection of line bundles.

We prove Gopakumar-Vafa conjecture for local toric CalabiYau manifolds. It is also proved that the local Goparkumar-Vafa invariants of a given class at large genus vanish.

PURPOSE To compare the ongrowth of lens epithelial cells (LECs) on the anterior surface of 6 different hydrophilic intraocular lenses (IOLs). SETTING Medical University of Vienna, Department of Ophthalmology and Optometry, Vienna, Austria. METHODS Six models of hydrophilic IOLs were compared in this prospective study: Visionflex A-100 (Distra Softcryl), Rayner Centerflex 570H (Rayner), Coll...