Advanced Operator Algebra Research

Let M be a compact Stein surface with boundary.We show that M admits infinitely many pairwise nonequivalent positive allowable Lefschetz fibrations over D 2 with bounded fibers.

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• ÖZGÜR MARTİN

For every integer g ≥ 2 there exist infinitely many pairwise nonhomeomorphic smooth 4-manifolds admitting genus-g Lefschetz fibration over S2 but not carrying any complex structure. This extends a recent result of Ozbagci and Stipsicz.

We promote the open-closed string map, originally formulated by Seiberg Witten, to a solution generating prescription in generalized supergravity. The approach hinges on a knowledge of an antisymmetric bivector $\mathrm{\ensuremath{\Theta}}$, built from antisymmetric products of Killing vectors, which is specified by…

• ÖZGÜR KELEKÇİ

We review a notion of completeness in QFT arising from the analysis of basic properties of the set of operator algebras attached to regions. In words, this completeness asserts that the physical observable algebras produced by local degrees of freedom are the maximal ones compatible with causality. We elaborate on equ…

• EYYUP TEL
• HÜSEYİN ALİ YALIM

Let M be a smooth 4-manifold which admits a Lefschetz fibration over D 2 or S 2 .We develop an algorithm to compute the signature of M using the global monodromy of this fibration.As a corollary we prove that there is no hyperelliptic Lefschetz fibration over S 2 with only reducible singular fibers.

We describe explicit open books on arbitrary plumbings of oriented circle bundles over closed oriented surfaces. We show that, for a non-positive plumbing, the open book we construct is horizontal and the corresponding compatible contact structure is also horizontal and Stein fillable. In particular, on some Seifert f…

Continuing a line of research initiated by Larsen, Liu and Wang [12], Martin and Yap [13], Gürkanli [15], and influenced by Reiter′s presentation of Beurling and Segal algebras in Reiter [2,10] this paper presents the study of a family of Banach ideals of Beurling algebras , G a locally compact Abelian group. These sp…

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• SERKAN SÜTLÜ

Abstract Motivated by possible scalar-leptoquark explanations of the recently reportedB-decay anomalies, we investigate whether the required leptoquarks can be accommodated within models based on noncommutative geometry (NCG). The models considered have the gauge structure of Pati-Salam models, SU(4) × SU(2)L× SU(2)R,…

• UFUK AYDEMİR

In this paper we study finite group extensions represented by special cohomology classes. As an application, we obtain some restrictions on finite groups which can act freely on a product of spheres or on a product of real projective spaces. In particular, we prove that if $(Z/p)^r$ acts freely on $(S^1)^k$, then $r \…

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• SEÇKİN KÜRKCÜOĞLU