A family of non-split topologically slice links with arbitrarily large smooth slice genus
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- by JungHwan Park and Arunima Ray PDF
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Abstract:
We construct an infinite family of topologically slice 2–component boundary links $\ell _i$, none of which is smoothly concordant to a split link, such that $g_4(\ell _i)=i$.References
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Additional Information
- JungHwan Park
- Affiliation: Department of Mathematics, Rice University MS-136, 6100 Main Street, P.O. Box 1892, Houston, Texas 77251-1892
- MR Author ID: 1188099
- Email: jp35@rice.edu
- Arunima Ray
- Affiliation: Department of Mathematics MS-050, Brandeis University, 415 South Street, Wal- tham, Massachusetts 02453
- MR Author ID: 1039665
- Email: aruray@brandeis.edu
- Received by editor(s): September 6, 2016
- Received by editor(s) in revised form: February 12, 2017
- Published electronically: September 28, 2017
- Additional Notes: The first author was partially supported by National Science Foundation grant DMS-1309081.
The second author was partially supported by an AMS–Simons Travel Grant. - Communicated by: David Futer
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 439-448
- MSC (2010): Primary 57M25
- DOI: https://doi.org/10.1090/proc/13724
- MathSciNet review: 3723153