Let n∈ Z+. We provide two short proofs of the following classical fact, one using Khovanov homology and one using Heegaard–Floer homology: if the closure of an n-strand braid σ is the n-component unlink, then σ is the trivial braid.
CITATION STYLE
Grigsby, J. E., & Wehrli, S. M. (2016). An elementary fact about unlinked braid closures. In Association for Women in Mathematics Series (Vol. 6, pp. 93–101). Springer. https://doi.org/10.1007/978-3-319-34139-2_2
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