(This note was originally written by Keenan Crane; at this point all responsibility for content and/or errors lies with Peter Schröder) When working with surfaces of nontrivial topology, we often need to be able to compute two things: generators for the first homology group, and bases for the space of harmonic \(1\)-forms. Loosely speaking, homology generators represent all the … Continue reading Homology Generators and Harmonic Bases