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.

BACKGROUND The aim of this study was to elucidate the morphological charac-teristics of the muscle bundles of the flexor digitorum superficialis (FDS) attached to the intermuscular aponeurosis (IMA) and any related structure that could potentially compress the ulnar nerve. MATERIALS AND METHODS Fifty embalmed limbs of 34 adult cadavers were studied. RESULTS The FDS arose as multiple separat...

The motivation for this paper stems [4] from the need to construct explicit isomorphisms of (possibly nontrivial) principal G-bundles on the space of loops or, more generally, of paths in some manifold M , over which I consider a fixed principal bundle P ; the aforementioned bundles are then pull-backs of P w.r.t. evaluation maps at different points. The explicit construction of these isomorphi...

This paper, the first in a projected series of three, is concerned with the classification of holomorphic principal G-bundles over an elliptic curve, where G is a reductive linear algebraic group. The motivation for this study comes from physics. The F-theory/heterotic string duality predicts that, given an elliptically fibered Calabi-Yau manifold M of dimension n over a base space B, together ...

Talin is an adaptor protein that couples integrins to F-actin. Structural studies show that the N-terminal talin head contains an atypical FERM domain, whereas the N- and C-terminal parts of the talin rod include a series of α-helical bundles. However, determining the structure of the central part of the rod has proved problematic. Residues 1359-1659 are homologous to the MESDc1 gene product, a...

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...

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...