Mutations of links in genus 2 handlebodies
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- by D. Cooper and W. B. R. Lickorish PDF
- Proc. Amer. Math. Soc. 127 (1999), 309-314 Request permission
Abstract:
A short proof is given to show that a link in the 3-sphere and any link related to it by genus 2 mutation have the same Alexander polynomial. This verifies a deduction from the solution to the Melvin-Morton conjecture. The proof here extends to show that the link signatures are likewise the same and that these results extend to links in a homology 3-sphere.References
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Additional Information
- D. Cooper
- Affiliation: Department of Mathematics, University of California at Santa Barbara, Santa Barbara, California 93106
- MR Author ID: 239760
- Email: cooper@math.ucsb.edu
- W. B. R. Lickorish
- Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, United Kingdom
- Email: wbrl@dpmms.cam.ac.uk
- Received by editor(s): May 13, 1997
- Additional Notes: This research was supported in part by N.S.F. grants DMS9504438 and DMS9510505.
- Communicated by: Ronald A. Fintushel
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 309-314
- MSC (1991): Primary 57M25; Secondary 81T99, 81R50
- DOI: https://doi.org/10.1090/S0002-9939-99-04871-6
- MathSciNet review: 1605940