(in Polish) Teoria Morse'a 1000-1M19TM
Elementary theorems in Morse theory. Rearrangement and cancellation theorems. Morse--Witten chain complex. Proof of h-cobordism theorem.
Type of course
Mode
Prerequisites (description)
Learning outcomes
The student understands the rudiments of knot theory and is capable of reading research papers on the subject as well as conducting independent research in the field.
Assessment criteria
Oral exam online. Knowledge of theorems from the lecture and at least sketches of proofs is required.
Bibliography
Milnor ,,Lectures on h-cobordism theorem''
Nicolaescu ,,Invitation to Morse theory"
Banyaga, Hurtubise ,,Lectures on Morse theory"
Borodzik, Nemethi, Ranicki "Morse theory for manifolds with boundary"
Borodzik, Powell "Embedded Morse theory"
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
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