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Conway mutation in knot Floer, Khovanov and Bar-Natan homology

Duke University Math
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Monday, February 17, 2020
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3:15 pm - 4:15 pm
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Claudius Zibrowius (University of British Columbia, Mathematics)
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Triangle Topology Seminar

Conway mutation is an operation on links that is notoriously difficult to detect: it preserves many classical link invariants such as the Alexander polynomial and the Jones polynomial. How the corresponding link homology theories behave under mutation is still a question of active research. In this talk, I will discuss some progress that has recently been made in this area using certain immersed curve invariants for 4-ended tangles, which put these homology theories locally on an equal footing. This is in large parts joint work with Liam Watson and Artem Kotelskiy.