In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass m. Thus, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. The focus of this research is the near Chern-Simons limit of the theory, where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copies of Chern-Simons with level number k/2, very similar to the Chern-Simons splitting of topologically massive AdS gravity model. As m approaches to infinity, the split parts add up to give the original Chern-Simons term with level k. Also, gauge invariance of the split CS theories is discussed for odd values of k. Furthermore, a relation between the observables of topologically massive Yang-Mills theory and Chern-Simons theory is obtained. It is shown that one of the two split Chern-Simons pieces is associated with Wilson loops while the other with 't Hooft loops. This allows one to use skein relations to calculate topologically massive Yang-Mills theory observables in the near Chern-Simons limit. Finally, motivated with the topologically massive AdS gravity model, Chern-Simons splitting concept is extended to pure Yang-Mills theory at large distances. It is shown that pure Yang-Mills theory acts like two Chern-Simons theories with level numbers k/2 and -k/2 at large scales. At very large scales, these two terms cancel to make the theory trivial, as required by the existence of a mass gap.

This thesis has four chapters. After a brief introduction in Chapter 1, the $AJ$-conjecture is introduced in Chapter 2. The $AJ$-conjecture for a knot $K \subset S^3$ relates the $A$-polynomial and the colored Jones polynomial of $K$. If $K$ satisfies the $AJ$-conjecture, sufficient conditions on $K$ are given for the $(r,2)$-cable knot $C$ to also satisfy the $AJ$-conjecture. If a reduced alternating diagram of $K$ has $\eta_+$ positive crossings and $\eta_-$ negative crossings, then $C$ will satisfy the $AJ$-conjecture when $(r+4\eta_-)(r-4\eta_+)>0$ and the conditions of Theorem 2.2.1 are satisfied. Chapter 3 is about quantum curves and their relation to the $AJ$ conjecture. The variables $l$ and $m$ of the $A$-polynomial are quantized to operators that act on holomorphic functions. Motivated by a heuristic definition of the Jones polynomial from quantum physics, an annihilator of the Chern-Simons section of the Chern-Simons line bundle is found. For torus knots, it is shown that the annihilator matches with that of the colored Jones polynomial. In Chapter 4, a tangle functor is defined using semicyclic representations of the quantum group $U_q(sl_2)$. The semicyclic representations are deformations of the standard representation used to define Kashaev's invariant for a knot $K$ in $S^3$. It is shown that at certain roots of unity the semicyclic tangle functor recovers Kashaev's invariant.

<p>Background: The project controller is a function witch evolved due to the strong gaining ground of project operation. Why the area of the project controller is interesting to study is explained by the fact that increasing knowledge of this function is important in order to make project operation work well. The fact that opinions in this field disagree, further increases the interest of the field. In order to study the function of the project controller three companies have been singled out. They are IFS, Intentia and Saab Bofors Dynamics. The selection is based upon them being knowledge based companies with project intense operation. </p><p>Aim: The aim with this study is to compare and analyse the function of the project controller in three project intense knowledge based companies. </p><p>Method: This study is based upon three methodological bases being qualitative study, case study and interview. As a complement to the interviews, document analysis have been used. </p><p>Result: The field of responsibility of accounting controllers is still of great importance, but can be seen as a smaller part of the collected project controller functions. A new area for the function of the project controller stresses constitutes of interaction, which both directly and indirectly supports project control. In the interactive function, both offensive and defensive functions are included, which can be conceived paradoxically. Furthermore the function of the project controller is rather influenced by how companies organise and structure the management control than the importance of the project operation.</p>

<p>Syftet med uppsatsen är att undersöka vilka typer av miljöbeskrivande adjektiv och stilistiska figurer som används för att ge en bild av de olika miljöerna i Frances Hodgson Burnetts berättelse <em>Den hemliga trädgården</em>. De miljöer som analyseras är huset Misselthwaite Manor, heden, trädgårdarna och den hemliga trädgården. Metoden som används i uppsatsarbetet är en stilistisk metod som innebär en närläsande intensivanalys av den enskilda texten. Även kvantitativa och kvalitativa aspekter inkluderas i metoden.</p><p>Analysen visar att följande typer av adjektiv förekommer i samtliga miljöskildringar: adjektiv som beskriver dimension, värdering, tillstånd och färg. Adjektiv som beskriver ålder hittas i miljöerna huset Misselthwaite Manor, trädgårdarna och den hemliga trädgården och de som beskriver sinnesstämning hittas i skildringarna av trädgårdarna och den hemliga trädgården. De klassificerande adjektiven hittas endast i skildringen av huset Misselthwaite Manor. Den vanligaste typen av adjektiv är de som utrycker värdering med sammanlagt 148 exempel. Stilfigurerna besjälning och liknelse förekommer i samtliga skildringar, medan metaforen saknas i beskrivningen av huset. Besjälning och liknelse är de vanligaste stilfigurerna, medan metaforen är minst representerad. Analysen visar även att den hemliga trädgården genomgår en positiv förändring, vilket inte är fallet med huset som förblir dystert. Samma typer av adjektiv används i de båda miljöerna förutom de klassificerande, som endast används i skildringen av huset Misselthwaite Manor, och de adjektiv som beskriver sinnesstämning, som används i skildringen av den hemliga trädgården. Den hemliga trädgården innehåller samtliga stilistiska figurer, medan huset saknar figuren metafor. </p><p>         </p>

Background: The project controller is a function witch evolved due to the strong gaining ground of project operation. Why the area of the project controller is interesting to study is explained by the fact that increasing knowledge of this function is important in order to make project operation work well. The fact that opinions in this field disagree, further increases the interest of the field. In order to study the function of the project controller three companies have been singled out. They are IFS, Intentia and Saab Bofors Dynamics. The selection is based upon them being knowledge based companies with project intense operation. Aim: The aim with this study is to compare and analyse the function of the project controller in three project intense knowledge based companies. Method: This study is based upon three methodological bases being qualitative study, case study and interview. As a complement to the interviews, document analysis have been used. Result: The field of responsibility of accounting controllers is still of great importance, but can be seen as a smaller part of the collected project controller functions. A new area for the function of the project controller stresses constitutes of interaction, which both directly and indirectly supports project control. In the interactive function, both offensive and defensive functions are included, which can be conceived paradoxically. Furthermore the function of the project controller is rather influenced by how companies organise and structure the management control than the importance of the project operation.

Syftet med uppsatsen är att undersöka vilka typer av miljöbeskrivande adjektiv och stilistiska figurer som används för att ge en bild av de olika miljöerna i Frances Hodgson Burnetts berättelse Den hemliga trädgården. De miljöer som analyseras är huset Misselthwaite Manor, heden, trädgårdarna och den hemliga trädgården. Metoden som används i uppsatsarbetet är en stilistisk metod som innebär en närläsande intensivanalys av den enskilda texten. Även kvantitativa och kvalitativa aspekter inkluderas i metoden. Analysen visar att följande typer av adjektiv förekommer i samtliga miljöskildringar: adjektiv som beskriver dimension, värdering, tillstånd och färg. Adjektiv som beskriver ålder hittas i miljöerna huset Misselthwaite Manor, trädgårdarna och den hemliga trädgården och de som beskriver sinnesstämning hittas i skildringarna av trädgårdarna och den hemliga trädgården. De klassificerande adjektiven hittas endast i skildringen av huset Misselthwaite Manor. Den vanligaste typen av adjektiv är de som utrycker värdering med sammanlagt 148 exempel. Stilfigurerna besjälning och liknelse förekommer i samtliga skildringar, medan metaforen saknas i beskrivningen av huset. Besjälning och liknelse är de vanligaste stilfigurerna, medan metaforen är minst representerad. Analysen visar även att den hemliga trädgården genomgår en positiv förändring, vilket inte är fallet med huset som förblir dystert. Samma typer av adjektiv används i de båda miljöerna förutom de klassificerande, som endast används i skildringen av huset Misselthwaite Manor, och de adjektiv som beskriver sinnesstämning, som används i skildringen av den hemliga trädgården. Den hemliga trädgården innehåller samtliga stilistiska figurer, medan huset saknar figuren metafor.

This thesis studies U(1) Chern-Simons theory and its relation to the results of Chris Beasley and Edward Witten (2005). Using the partition function formalism, we are led to compare U(1) Chern-Simons theory as constructed by Manoliu (1998) to the results of Beasley and Witten (2005). This leads to an explicit calculation of the U(1) Chern Simons partition function on a closed Sasakian three-manifold and opens the door to studying rigorous extensions of this theory to more general gauge groups and three-manifold geometries.

In this thesis, we considered electrically charged vortex solutions of Born- Infeld Chern-Simons gauge theory in 2+1 dimensions, with a sixth order charged scalar eld potential. For this purpose, rst Nielsen-Olesen vortex solutions are extensively reviewed. Then, Born-Infeld and Chern-Simons theories are summarized. Finally, vortex solutions are obtained for the Born-Infeld-Higgs system with a Chern-Simons term. These solutions are analyzed numerically, comparing their properties with Nielsen-Olesen vortices.

This thesis studies U(1) Chern-Simons theory and its relation to the results of Chris Beasley and Edward Witten (2005). Using the partition function formalism, we are led to compare U(1) Chern-Simons theory as constructed by Manoliu (1998) to the results of Beasley and Witten (2005). This leads to an explicit calculation of the U(1) Chern Simons partition function on a closed Sasakian three-manifold and opens the door to studying rigorous extensions of this theory to more general gauge groups and three-manifold geometries.

Gauge theories are one of the corner stones of modern theoretical physics. They describe the nature of all fundamental interactions and have been applied in multiple branches of physics. The most challenging problem of gauge theories, which has not been solved yet, is their strong coupling dynamics. A class of gauge theories that admits simplifications allowing to deal with the strong coupling regime are supersymmetric ones. For example, recently proposed method of supersymmetric localization allows to reduce expectation values of supersymmetric observables, expressed through the path integral, to finite-dimensional matrix integral. The last one is usually easier to deal with compared to the original infinite-dimensional integral. This thesis deals with the matrix models obtained from the localization of different 5D gauge theories. The focus of our study is N=1 super Yang-Mills theory with different matter content as well as N=1 Chern-Simons-Matter theory with adjoint hypermultiplets. Both theories are considered on the five-spheres. We make use of the saddle-point approximation of the matrix integrals, obtained from localization, to evaluate expectation values of different observables in these theories. This approximation corresponds to the large-N limit of the localized gauge theory. We derive <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?N%5E%7B3%7D" /> behavior for the free energy of 5D N=1* super Yang-Mills theory at strong coupling. This result is important in light of the relation between 5D theory and the world-volume theories of M5-branes, playing a significant role in string theory. We have also explored rich phase structure of 5D SU(N) N=1 super Yang-Mills theory coupled to massive matter in different representations of the gauge group. We have shown that in the case of the massive adjoint hypermultiplet theory undergoes infinite chain of the third order phase transitions while interpolating between weak and strong coupling in the decompactification limit. Finally, we obtain several interesting results for 5D Chern-Simons theory, suggesting existence of the holographic duals to this theory. In particular, we derive <img src="http://www.diva-portal.org/cgi-bin/mimetex.cgi?N%5E%7B5/2%7D" /> behavior of the free energy of this theory, which reproduces the behavior of the free energy for 5D theories with known  holographic duals.