Programme (PDF)

Abstract

This course will begin with the basics of the study of the Anti-Self-Dual Yang-Mills equation. We'll emphasize the parts of the theory important for setting Floer homology for three manifolds and also for links in three manifolds. We'll show how to extend the theory to sutured manifolds and cover the surgery exact sequences for these theories. We'll see that these theories can be used to detect knot genus and the Thurston norm. Using this background we'll relate Khovanov homology to a version of instanton Floer homology and deduce that Khovanov homology detects the unknot from the corresponding result in the instanton theory.

Social Programme

• Monday 1 August 18.00: Social Dinner at Math Lab
• Thursday 4 August 18.00: Special Dinner

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List of participants

cal/special/2012/ehrenpreis/participation-list/Video recording