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math.GT2020★ 5 cited
Link Floer homology also detects split links
Joshua Wang
Inspired by work of Lipshitz-Sarkar, we show that the module structure on link Floer homology detects split links. Using results of Ni, Alishahi-Lipshitz, and Lipshitz-Sarkar, we e…
math.GT2020★ 8 cited
The cosmetic crossing conjecture for split links
Joshua Wang
Given a band sum of a split two-component link along a nontrivial band, we obtain a family of knots indexed by the integers by adding any number of full twists to the band. We show…