BPS INDICES, MODULARITY AND PERTURBATIONS IN QUANTUM K-THEORY

BPS indices, modularity and perturbations in quantum K-theory

Abstract We study a perturbation family of N 05rb shades eq $$ mathcal{N} $$ = 2 3d gauge theories and its relation to quantum K-theory.A 3d version of the Intriligator-Vafa formula is given for the quantum K-theory ring of Grassmannians.The 3d BPS half-index of the gauge theory is connected to the theory of bilateral hypergeometric q-series, and t

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Microtubule heterogeneity of Ornithogalum umbellatum ovary epidermal cells: non-stable cortical microtubules and stable lipotubuloid microtubules

Lipotubuloids, structures containing lipid bodies and microtubules, are described in ovary epidermalcells of Ornithogalum umbellatum.Microtubules of lipotubuloids can be fixed in electron microscope fixativecontaining only buffered OsO4 or in glutaraldehyde with OsO4 post-fixation, or in a mixture of OsO4 and glutaraldehyde[1].None of these substan

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Effects of Aluminum Incorporation in Tobermorite Structure on Chloride Diffusion: A Molecular Dynamics Simulation Study

In this paper, the effects of different aluminum to silicon ratios in silicate chains of calcium silicate hydrates (C-S-H) are evaluated on the diffusion coefficient of chloride ions by molecular dynamics method.Tobermorite is a crystalline phase that is used for omnipure q5633 studying C-S-H properties in nano scale, because of its analogous chemi

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Transversal Core of Intuitionistic Fuzzy k-Partite Hypergraphs

In graph theory, a transversal is a set of vertices incident to every edge in a graph but in tenma vineyard Intuitionistic Fuzzy k-Partite Hypergraph(IFk-PHG), the transversal is a hyperedge which cuts every hyperedges.In this article, Intuitionistic Fuzzy Transversal(IFT), minimal IFT, locally minimal IFT, IFTC(Intuitionistic Fuzzy Transversal Cor

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Differential effects of two strains of Rhizophagus intraradices on dry biomass and essential oil yield and composition in Calamintha nepeta

The aim of this work was to determine the verbatim coupons effects of two geographically different strains of Rhizophagus intraradices (M3 and GA5) on the total biomass and essential oil (EO) yield and composition of Calamintha nepeta, with or without phosphorus (P) fertilization, under greenhouse conditions.The plant biomass was not significantly

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