Morse Theory Learning Seminar

Francisco Villacis, Department of Pure Mathematics, University of Waterloo

"Pseudo-Gradients and the Smale Condition"

 I will continue the discussion of pseudo-gradients that was started last time. I will talk in short detail about how the topology of the level sets change as we cross critical points of a Morse function and on the stable and unstable manifolds. I will discuss in detail the Smale condition and the space of trajectories of pseudo-gradients with a view towards the construction of the Morse complex.

M3 4206