The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin structures and Dirac operators,- Gauge theory.Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.

Starting from an undergraduate level, this book systematically develops the basics of * Calculus on manifolds, vector bundles, vector fields and differential forms, * Lie groups and Lie group actions, * Linear symplectic algebra and symplectic geometry, * Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.

This open access book deals with Article 7 TEU measures, court proceedings, financial sanctions and the EU Rule of Law Framework to protect EU values with a particular focus on checks and balances in EU Member States. It analyses substantive standards, powers, procedures as well as the consequences and implications of the various instruments. It combines the analysis of the European level, be it the EU or the Council of Europe, with that of the national level, in particular in Hungary and Poland. The LM judgment of the European Court of Justice is made subject to detailed scrutiny.

Starting from an undergraduate level, this book systematically develops the basics of * Calculus on manifolds, vector bundles, vector fields and differential forms, * Lie groups and Lie group actions, * Linear symplectic algebra and symplectic geometry, * Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.

The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:- Geometry and topology of fibre bundles,- Clifford algebras, spin structures and Dirac operators,- Gauge theory.Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.

Das Handbuch stellt die Frage nach der zukunftigen Rolle der nachwachsenden Generation in der neuen Bundesrepublik vor dem Hintergrund der prekaren Situation der Jugend in den oestlichen Bundeslandern.

Das Hannoveraner Lieferkettenmodell ist ein Rahmenmodell fur die produktionslogistischen Prozesse in Unternehmen. Das Buch stellt seine Zielsysteme in den Kernprozessen der unternehmensinternen Lieferkette Beschaffung, Produktion und Versand dar und zeigt Wechselwirkungen zwischen den teilweise kontrar ausgerichteten Zielgroessen auf. Anhand des Hannoveraner Lieferkettenmodells werden die verschiedenen Hauptaufgaben und Aufgaben der Produktionsplanung und -steuerung (PPS) systematisch beschrieben und in einen Gesamtkontext gebracht. Oft werden durch die Erfullung der PPS-Aufgaben einige Zielgroessen positiv und andere negativ beeinflusst. Aufgrund dieser gegensatzlichen Wirkung der Erfullung der PPS-Aufgaben sind unternehmerische Entscheidungen zu treffen. Hierfur werden in diesem Buch die zentralen Zielkonflikte der PPS herausgearbeitet und die Wirkung der PPS-Aufgaben auf die Zielgroessen veranschaulicht. So ermoeglicht dieses Buch eine Betrachtung der Wirkzusammenhange zwischen der Produktionsplanung und -steuerung und den logistischen Zielgroessen in der unternehmensinternen Lieferkette.

Notwendige Grundkenntnisse der Buchfuhrung und Bilanzierung werden durchgehend anhand von Anwendungsfallen und deren buchhalterischer Erfassung vermittelt, unter spezieller Verwendung des Industriekontenrahmens. Das Buch eignet sich sowohl zur Vorlesungsnachbereitung wie zum autodidaktischen Lernen."

Der Autor stellt in diesem Buch das Konzept der Kernverantwortung eines Unternehmens vor und gibt praktische Empfehlungen zur Fuhrung und Steuerung von Unternehmen. Jedes Unternehmen ist Teil der Gesellschaft und steht mit dieser in standiger wechselseitiger Beeinflussung - daraus entstehen wechselseitige Verantwortlichkeiten, aber auch Gestaltungsmoeglichkeiten. Das Werk zeigt, wie ein Unternehmen in komplexen gesellschaftlichen Diskurszusammenhangen erfolgreich seine Kernverantwortung bestimmt und wahrnimmt. Damit vermittelt das Buch ein aufgeklartes Verstandnis von Unternehmensverantwortung und Strategie, das die spezifische Verantwortung eines Unternehmens in seinem aktuellen Kontext - Gesellschaft, Wirtschaft, Branche - bestimmt und Erfolg und Wertevielfalt effektiv miteinander vereinbart.