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On braided, banded surfaces and ribbon obstructions

2018/01/22 by J. Elisenda Grigsby, Grigsby, J. Elisenda
Mathematics · #20F36 #57M27 #57Q60 #81R50 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:20F36 #msc:57M27 #msc:57Q60 #msc:81R50

paper · pdf · doi:10.48550/arxiv.1801.07158

7 pages, 2 figures, based on lecture given at Georgia Topology Conference 2017

arxiv created 2018/01/22 · arxiv updated 2018/01/23

Abstract

We discuss how to apply work of L. Rudolph to braid conjugacy class invariants to obtain potentially effective obstructions to a slice knot being ribbon. We then apply these ideas to a family of braid conjugacy class invariants coming from Khovanov-Lee theory and explain why we do not obtain effective ribbon obstructions in this case.

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