20.500.12556/RUL-144391 Seiberg-Wittenova teorija magistrsko delo Seiberg-Witten theory V delu opišemo Seiberg Wittenovo teorijo s poudarkom na presečni formi. V prvem delu povzamemo matematične vidike umeritvene teorije. Dalje se lotimo spinske geometrije: Cliffordovih algeber in spinskih upodobitev. V četrtem poglavju vpeljemo spinsko povezavo in Diracov operator. Jedro dela sta poglavji 5 in 6, kjer obravnavamo Seiberg-Wittenov prostor modulov, Seiberg-Wittenove enačbe in invariante z njihovimi lastnostmi. V 7. poglavju se dotaknemo topologije 4-mnogoterosti in presečne forme kot njene invariante. In the thesis we describe Seiberg-Witten theory, in particular we focus on its connection with the intersection form. In the first part we summarize some of the gauge theory. Next, spin geometry, Clifford algebras and spin representations are discussed. In chapter 4 we introduce spin connection and Dirac operator. The core of the thesis is chapter 5 and 6 where Seiberg-Witten moduli space, equations and invariants are elaborated with some properties. In chapter 7 we dive in 4-dimensional topology and intersection form as its invariant. Glavni svežnji povezava ukrivljenost karakteristični razredi Čechova kohomologija Hodgeova teorija prostori Soboljeva Spinska grupa spinska upodobitev Cliffordovo množenje kvadratna preslikava umeritvena grupa prostor modulov Principal bundles connection curvature characteristic classes Čech cohomology Hodge theory Sobolev spaces Spin group Spin representation Clifford multiplication quadratic map gauge group moduli space true false false Slovenski jezik Angleški jezik Magistrsko delo/naloga 2023-02-18 08:15:01 2023-02-18 08:15:06 2024-05-29 10:50:59 0000-00-00 00:00:00 2023 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514.7 130150 142005507 7655.pdf 7655.pdf 1 70DD0612BEFA5D94429DF1958BFAAA66 cb6c71bbe75fc94861d93eb76028acf5a7dde2814bf81fa3b50987d54224a3dc a2dbad02-af5b-11ed-9c94-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=166686 Fakulteta za matematiko in fiziko 0 0 0