Introducing theself to discrete Morse theory

Question

I plan to write my maths masters' dissertation on discrete Morse theory. I intend to write it from a theoretical point of view, relating it to classical Morse theory. I still have to decide exactly what to do, but I would like to learn the basics about discrete Morse theory first.

Which books or articles would you recommend to introduce myself to the topic? I wonder if "A user's guide to discrete Morse theory" by R. Forman or "Discrete Morse Theory" by N. Scoville are good starting points.

Thanks!

Answer 1

Try A User's Guide to Discrete Morse Theory by Robin Forman, who is a top expert. Its 44 pages so not too long for a master's thesis. Also don't forget the usefulness of recorded seminars and youtube videos, as this subject is quite new in its applications.