The theory of shadows of 3 and 4-manifolds represents a bridge between combinatorics of polyhedra and low-dimensional topology. On the one hand, it allows a purely combinatorial approach to the study
In general the starting point of the definition and existence theorem of an invariant is a presentation of the objects in the class under consideration, and a calculus for this presentation. More prec
During the past 20 years spectral curves have proved to be a successful geometrical tool for studying a large number of Hamiltonian systems. In 1987 Hitchin applied the theory of spectral curves, cons
The subject of this thesis is the Mu-calculus, which nowadays represents a very active research area in both theoretical and practical Computer Science. The Mu-calculus is a logic capable of expressin
The aim of this thesis is to give a complete exposition of the main topological and ergodic properties of the expanding maps and provide some new results about their periodic points sets. It is common
The theory of elliptic complexes of linear partial differential operators is closely interwoven with complex analysis. In particular, the Dolbeault complex is at the same time an important example of
A way to solve the naturalness problem of the Higgs mass arising from the standard model is to introduce a new symmetry: the supersymmetry. Supersymmetry predicts, along with every particle, its super
In the last decade the research field under the name of topological quantum field theory has undergone an impressive growth. We shall focus our attention on the topological quantum field theory introd
An important question concerning algebraic geometry and differential topology is the so-called def=diff? problem: are two complex structures on a closed compact differentiable 2n-manifold deformation
In this thesis we deal with the models of subspace arrangements introduced by De Concini and Procesi. In particular we study their integer cohomology rings, which are torsion free Z-modules of which w
One of the most useful tools for studying hyperbolic 3-manifolds is the technique of ideal triangulations, introduced by Thurston to understand the hyperbolic structure of the complement of the figure
This thesis is devoted to investigating some aspects of the geometry and function theory on domains in complex vector spaces. The link between geometry and function theory stems from the standard appr
An introduction to computer security for teenage users explains how to protect one's home computer from viruses and prevent identity theft and covers a variety of key issues, including how to ensure o
With Windows 10 arriving later in 2015, many questions remain to be answered, both for businesses and home users. Will it provide the compatibility of Windows XP, and the usability of Windows 7? Will
Electron gas theory is one of the broadest fields in theoretical condensed matter physics, and even its most elementary application to the study of collective excitations and screening in the simpe me
