====== Gauss-Bonnet Theorem ====== Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party. * [[https://www.physicsforums.com/attachments/preliminaries-moore-pdf.20344/|A fantastic introduction that explains the Gauss-Bonnet theorem in intuitive terms is Geometry and topology in many-particle systems]] by Joel E. Moore The motto in this section is: //the higher the level of abstraction, the better//. The Gauss-Bonnet theorem is a formula that yields a topological invariant, i.e. something that can be used to characterise e.g. manifolds.