We study a class of two-dimensional N = (2, 2) sigma models called squashed toric sigma models, using their Gauged Linear Sigma Models (GLSM) description. These models are obtained by gauging the global U(1) symmetries of toric GLSMs and introducing a set of corresponding compensator superfields. The geometry of the resulting vacuum manifold is a deformation of the corresponding toric manifold ...

RESULTS: Implantation of a toric IOL reduced the refraction astigmatism by 80%. Aberrations increased in all patients, but while astigmatic aberration decreased with toric IOLs, spherical aberration decreased with aspheric IOLs. The UCVA was better with toric and aspheric IOLs (0.1 logMAR), whereas the BCVA was statistically better with aspheric IOLs compared to spherical (p = 0.05). The CSF wa...

Let (C; 0) be an irreducible germ of complex plane curve. Let ? N be the semigroup associated to it and C ? C g+1 the corresponding monomial curve, where g is the number of Puiseux exponents of (C; 0). We show, using the specialization of (C;0) to (C ? ; 0), that the same toric morphisms

We report cataract surgery with toric intraocular lens implantation for the management of senile cataract combined with pellucid marginal degeneration. A 72-year-old man with bilateral senile cataract and significant against-the-rule astigmatism sought counseling for blurry vision and glare, mostly in the right eye. Based on ophthalmic examination and corneal topography, a diagnosis of pellucid...

This mini review focuses on the current knowledge on posterior corneal astigmatism based on the latest research. In the first part the definition, the magnitude as well as methods and devices for its evaluation are presented. Posterior corneal astigmatism measurement is improving as new technologies are evolving. It is now shown that the posterior corneal surface acts as a negative lens and as ...

BACKGROUND Keratoconus (KC) is a common ectatic disorder resulting in progressive corneal thinning and irregular astigmatism. It has been observed that patients affected by KC are more likely to develop lens opacities earlier compared to non-keratoconic patients. OBJECTIVE Intraocular lens (IOL) selection and refractive outcome prediction are among a number of factors that can make cataract s...

The Gopakumar–Vafa invariant is a number defined as certain linear combination of the Gromov–Witten invariants. We prove that the GV invariants of the toric Calabi–Yau threefold are integers and that the invariants at high genera vanish. The proof of the integrality is the elementary number theory and that of the vanishing uses the operator formalism and the exponential formula.

A 50 year old man presented to Eye clinic University clinical centre Tuzla with bilateral visual impairment. Clinical examination revealed low visual acuity and keratoconus in both eyes, white cataract in right eye and diabetic retinopathy in left eye. Ultrasonography examination was normal. The patient underwent Trypan blue capsule staining, phacoemulsification and implantation of intraocular ...

In this paper, we obtain a complete classification of smooth toric Fano varieties equipped with extremal contractions which contract divisors to curves for any dimension. As an application, we obtain a complete classification of smooth projective toric varieties which can be equivariantly blown-up to Fano along curves.