Categorified invariants and the braid group
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- by John A. Baldwin and J. Elisenda Grigsby PDF
- Proc. Amer. Math. Soc. 143 (2015), 2801-2814 Request permission
Abstract:
We investigate two “categorified” braid conjugacy class invariants, one coming from Khovanov homology and the other from Heegaard Floer homology. We prove that each yields a solution to the word problem but not the conjugacy problem in the braid group. In particular, our proof in the Khovanov case is completely combinatorial.References
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Additional Information
- John A. Baldwin
- Affiliation: Department of Mathematics, 301 Carney Hall, Boston College, Chestnut Hill, Massachusetts 02467
- MR Author ID: 772542
- Email: john.baldwin@bc.edu
- J. Elisenda Grigsby
- Affiliation: Department of Mathematics, 301 Carney Hall, Boston College, Chestnut Hill, Massachusetts 02467
- MR Author ID: 794424
- Email: julia.grigsby@bc.edu
- Received by editor(s): July 26, 2013
- Received by editor(s) in revised form: February 3, 2014, and February 11, 2014
- Published electronically: February 26, 2015
- Additional Notes: The first author was partially supported by NSF grant number DMS-1104688
The second author was partially supported by NSF grant number DMS-0905848 and NSF CAREER award DMS-1151671. - Communicated by: Daniel Ruberman
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2801-2814
- MSC (2010): Primary 20F36, 57M27, 57R58, 81R50
- DOI: https://doi.org/10.1090/S0002-9939-2015-12482-3
- MathSciNet review: 3336606