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Nathan M. Dunfield, Stavros Garoufalidis, Alexander Shumakovitch, and Morwen Thistlethwaite
Erratum: Behavior of knot invariants under genus 2 mutation view print original article
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| Published: |
February 20, 2012 |
| Keywords: |
mutation, symmetric surfaces, Khovanov Homology, volume, colored Jones polynomial, HOMFLY-PT polynomial, Kauffman polynomial, signature. |
| Subject: |
Primary 57N10, Secondary 57M25 |
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Abstract
Proposition 2.7 of the original paper
(Dunfield, Garoufalidis, Shumakovitch and Thistlethwaite, 2010)
is false and as a
result Corollary 2.8 has not been established. Here, we provide
alternate proofs of the results in our paper which depended on those
claims, with the exception of the invariance of generalized knot
signatures. In particular, all the results claimed in Table 1.2 of
the original paper have still been proved.
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| Acknowledgements
N. D. was partially supported by the supported by the Sloan Foundation. N. D. and S. G. were partially supported by the US NSF
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| Author information
Nathan M. Dunfield:
Dept. of Mathematics, MC-382, University of Illinois, Urbana, IL 61801, USA
nathan@dunfield.info
Stavros Garoufalidis:
School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA
stavros@math.gatech.edu
Alexander Shumakovitch:
George Washington University, Department of Mathematics, 1922 F Street, NW, Washington, DC 20052, USA
shurik@gwu.edu
Morwen Thistlethwaite:
Department of Mathematics, The University of Tennessee, Knoxville, TN 37996-1300, USA
morwen@math.utk.edu
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