A bstract We introduce a class of new algebras, the shifted quiver Yangians, as BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. construct representations Yangian from subcrystals canonical crystal. derive our results via equivariant localization supersymmetric quantum mechanics various framed quivers, where framings are determined by shape subcrystals. Our unify...

recent studies on wavelet transform and fractal modeling applied on mammograms for the detection of cancerous tissues indicate that microcalcifications and masses can be utilized for the study of the morphology and diagnosis of cancerous cases. it is shown that the use of fractal modeling, as applied to a given image, can clearly discern cancerous zones from noncancerous areas. in this paper, f...

We present a new set of axioms for a 2D TQFT formulated on the category of the dual of ribbon graphs with edge-contraction operations as morphisms. Every Frobenius algebra A determines a contravariant functor from this category to the category of elements of the tensor category of Frobenius algebras over A∗. The functor evaluated at connected graphs is the TQFT corresponding to A. The edge-cont...