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Peculiar modules for 4-ended tangles


Speaker: Claudius Zibrowius, University of Sherbrooke
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Location: 1147 MSB
Start time: Tue, Mar 6 2018, 1:10PM

A peculiar module is a certain algebraic invariant of 4-ended
tangles that I developed in my PhD thesis as a tool for studying the local behaviour of Heegaard Floer homology for knots and links. I will briefly explain its construction and describe its classification in terms of immersed curves on a 4-punctured sphere as well as a glueing formula. Finally, I will discuss some applications, such as rational tangle detection, skein relations and mutation symmetries.