Ralph L. Cohen
Barbara Kimball Browning Professor
in the School of Humanities and Sciences, Emeritus
Bass University Fellow in Undergraduate Education
Professor of Mathematics, Emeritus
I am in the process of compiling lecture notes from many courses in Algebraic and Differential Topology that I've taught over the years. The focus of these notes is the algebraic topology of manifolds, and will include such topics as intersection theory, immersions, embeddings, homotopy theory (including fibrations and cofibrations, spectral sequences, spectra and the Steenrod algebra), Morse theory (including moduli spaces of gradient flow lines), cobordism theory (including the topology of cobordism categories), bundle theory (including characteristic classes, and basic gauge theory), and basic Floer theory. As of now the notes are in a rather rough form, but I will continue to update the manuscript available here as my writing progresses.