Peculiar modules for 4-ended tangles
Peculiar modules for 4-ended tangles
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Claudius Zibrowius, Sherbrooke University
A peculiar module is a certain algebraic invariant of 4-endedÌýtangles that I developed in my PhD thesis as a tool for studyingÌýthe local behaviour of Heegaard Floer homology for knots andÌýlinks. I will briefly explain its construction and describe itsÌýclassification in terms of immersed curves on a 4-puncturedÌýsphere as well as a glueing formula. Finally, I will discuss someÌýapplications, such as rational tangle detection, skein relationsÌýand mutation symmetries.