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.

Contact lens correction of astigmatism is reviewed. According to literature data, rigid gas permeable lenses are the lenses of choice in correction of irregular and high astigmatism. The crucial advantage of rigid gas permeable lenses is clear vision and stable correction of astigmatism. Soft toric lenses ensure quick adaptation and comfort. The most prominent disadvantage of soft toric contact...

PURPOSE To evaluate the subjective performance of modern scleral lenses in patients of the clinics of Visser Contact Lens Practice. METHODS In this cross-sectional survey, all the necessary data were collected at the first follow-up visit during the 5-month study period. In accordance with the preformed fitting technique developed at Visser Contact Lens Practice, four types of scleral lenses ...

This 30-year-old patient had a high myopia and with-the-rule astigmatism. Her best-corrected-visual-acuity was 20/20 with -6.75 -2.50 x 10. cornea an asymmetric bowtie, we were concerned laser vision correction. We then decided to implant toric phakic intraocular lens (Visian ICL® toric) and, 1 week after surgery, she J1 uncorrected. Note the central anterior vaulting of away from crystalline l...

PURPOSE To prospectively compare postoperative results of two premium intraocular lenses EnVISTA (Bausch and Lomb) and AcrySof IQ (Alcon), focussing on glistenings and posterior capsule opacification. The evaluation of glistenings was done using Image J software and posterior capsule opacifications were quantified with OSCA system. METHODS Twenty patients (7 men and 13 women) with bilateral c...

PURPOSE To evaluate the impact of continuous manufacturing process improvements on glistening formation in AcrySof hydrophobic acrylic intraocular lenses (IOLs) by comparing lenses manufactured in 2003 with lenses manufactured in 2012. METHODS Glistenings were experimentally created as aqueous-filled microvacuoles utilizing an accelerated laboratory method by immersing the lens in water at 45...

— We explain the main ideas and techniques involved in recent proofs of asymptotics of rational points of bounded height on toric varieties.