Nicolaescu An Invitation to Morse Theory – Monograph

Liviu I . Nicolaescu An Invitation to Morse Theory –

Microlocal Studies of Shapes

A gentle introduction to stratified Morse theory and Kashiwara’s conormal cycle.

An Invitation to Tame Geometry

Combinatorial Morse Flows Are Hard to Find

We investigate the probability of detecting combinatorial Morse flows on a simplicial complex via a random search. It is really small, in a quantifiable way. CONTENTS

Morse Functions Statistics

We answer a question of V.I. Arnold concerning the growth rate of the number of Morse functions on the two sphere.