Mathematical Research Letters

Volume 21 (2014)

Number 6

Sutured Khovanov homology distinguishes braids from other tangles

Pages: 1263 – 1275

DOI: http://dx.doi.org/10.4310/MRL.2014.v21.n6.a4

Authors

J. Elisenda Grigsby (Department of Mathematics, Boston College, Chestnut Hill, Massachusetts, U.S.A.)

Yi Ni (Department of Mathematics, California Institute of Technology (Caltech), Pasadena, Calif., U.S.A.)

Abstract

We show that the sutured Khovanov homology of a balanced tangle in the product sutured manifold $D \times I \;$ has rank $1$ if and only if the tangle is isotopic to a braid.

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