Connecting analysis, algebra, and topology; Generalizing Maxwell's equations

dc.contributor.advisor	Svanes, Eirik Eik
dc.contributor.author	Hodne, Jenny Therese
dc.date.accessioned	2023-06-15T15:51:22Z
dc.date.available	2023-06-15T15:51:22Z
dc.date.issued	2023
dc.identifier	no.uis:inspera:135971243:69344466
dc.identifier.uri	https://hdl.handle.net/11250/3071619
dc.description.abstract
dc.description.abstract	This thesis explores the mathematical concepts of differential forms and their applications in higher dimensional geometries, known as manifolds. We will see how the topological invariants of a geometry are related to whether a differential form can be solved or not. We will study some examples to gain an understanding of how the number of solutions to Maxwell’s differential equations is related to cohomology groups.
dc.language	eng
dc.publisher	uis
dc.title	Connecting analysis, algebra, and topology; Generalizing Maxwell's equations
dc.type	Bachelor thesis