After recalling why light bulbs are standard in dimension 3, we go through Gabai's proof [ArXiv:1705.09989] of the corresponding statement in dimension 4. Along the way, we pick up the necessary background on embedded Morse theory and diffeomorphism groups.
H312, Fridays 13:00
Introduction to algebraic topology with focus on the fundamental group and homology.
We study the approach to Seiberg-Witten theory of Bauer-Furuta using stable homotopy theory.
Introduction to linear algebra with applications from probability theory and optimisation.
Exercises on Webworks
Complex calculus focusing on methods for evaluating integrals over domains in the complex plane and the computation of various transforms and their application in engineering.
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