Law, KJHSaxena, AKevrekidis, PGBishop, AR2024-04-262024-04-262009-01-01https://hdl.handle.net/20.500.14394/34729This is the prepublished version harvested from ArXiv. The published version is located at http://pra.aps.org/abstract/PRA/v79/i5/e053818We investigate the existence and stability of gap vortices and multipole gap solitons in a kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular, predictions are made based on expansion around a simple and analytically tractable anticontinuum (zero-coupling) limit. These predictions are then confirmed for a continuum model of an optically induced kagome lattice in a photorefractive crystal obtained by a continuous transformation of a honeycomb lattice.crystal structureoptical latticesoptical modulationoptical solitonsoptical vorticesphotorefractive materialsPhysical Sciences and Mathematicsarticle