Product bundles may consist of multiple units of a single product (" uniform " bundles) or multiple units of more than one product (" mixed " bundles). In this paper, we examine consumer evaluations of mixed and uniform bundles. Two factors can explain preferences for mixed bundles. First, consumers may perceive each additional unit of a particular product as possessing less marginal value. Sec...

We prove the Kobayashi-Hitchin correspondence between good wild harmonic bundles and polystable filtered $\lambda$-flat satisfying a vanishing condition. also study for with homogeneity respect to group action, which is expected provide another way construct Frobenius manifolds.

In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. particular, the definition of equivariant connections in these bundles, associated to connections, is provided, together with analysis their existence and main properties. The final part gives some examples. since research was initially originated problems on geometric reduction gauge field theori...

We define the notion of a piecewise linear map from fan $$\Sigma $$ to $$\tilde{\mathfrak {B}}(G)$$ , cone over Tits building algebraic group G. Let $$X_\Sigma be toric variety with . show that when G is reductive set integral maps classifies isomorphism classes (framed) principal G-bundles on This in particular recovers Klyachko’s classification vector bundles, and gives new results for orthog...

We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for multiplicity components global nilpotent cone its relationship to mirror symmetry. The main ingredients are Bialynicki-Birula theory ${\mathbb C}^*$-actions semiprojective varieties, C}^*$ characters indices C}^*$-equivariant coherent sheaves, Hecke transformation bundles, re...

The present study sought to investigate the effect of explicit instruction of lexical bundles (LBs) on the development of Iranian English for Academic Purposes (EAP) students’ writing quality and also their receptive and productive knowledge of Lexical Bundles (LB). Assigned to two experimental and control groups, the eighty participants took pre- and post-tests of writing tasks and the recepti...

1. Differentiable Manifolds 2 2. Complex Manifolds 3 2.1. Riemann Surfaces of Genus One 4 2.2. Constructing Riemann Surfaces as Curves in P 6 2.3. Constructing Riemann Surfaces as Covers 9 2.4. Constructing Riemann Surfaces by Glueing 10 3. Topological Vector Bundles 11 3.1. The Tangent and Cotangent Bundles 13 3.2. Interlude: Categories, Complexes and Exact Sequences 14 3.3. Metrics on Vector ...

We relate Berezin–Toeplitz quantization of higher rank vector bundles to quantum-classical hybrid systems and in stages symplectic fibrations. apply this picture the analysis geometry bundles, including spectral gap Berezin transform convergence rate Donaldson’s iterations toward balanced metrics on stable bundles. also establish refined estimates scalar case compute Kähler manifolds with const...

A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category F of fibers. Well known results on fibre bundles are shown to be true for stratified bundles; namely the pull back theorem, the bundle theorem and the principal bundle theorem. AMS SC : 55R55 (Fiberings with singularities); 55R65 (Generalizations o...