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Alex Chandler, NC State, Spectral Sequences Working Seminar
Alex Chandler, NC State, Spectral Sequences Working Seminar
Spectral sequences in Khovanov homology.
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Geometry and Topology Seminar
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Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology
Jonathan Hanselman, Princeton, The cosmetic surgery conjecture and Heegaard Floer homology
The cosmetic surgery conjecture states that no two surgeries on a given knot produce the same 3-manifold (up to orientation preserving diffeomorphism). Floer homology has proved to be a powerful tool for approaching this problem; I will survey partial results that are known and then show that these results can be improved significantly. If a…
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Yuanan Diao, Department of Mathematics and Statistics, UNC Charlotte, Braid Index Bounds Ropelength From Below
Yuanan Diao, Department of Mathematics and Statistics, UNC Charlotte, Braid Index Bounds Ropelength From Below
For an un-oriented link K, let L(K) be the ropelength of K. It is known that in general L(K) is at least of the order O((Cr(K))3/4), and at most of the order O(Cr(K) ln5 (Cr(K)) where Cr(K) is the minimum crossing number of K. Furthermore, it is known that there exist families of (infinitely many) links with the property…