The Kakimizu complex of a connected sum of links
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- by Jessica E. Banks PDF
- Trans. Amer. Math. Soc. 365 (2013), 6017-6036 Request permission
Abstract:
We show that $|\mathrm {MS}(L_1\# L_2)|=|\mathrm {MS}(L_1)|\times |\mathrm {MS}(L_2)|\times \mathbb {R}$ when $L_1$ and $L_2$ are any non-split and non-fibred links. Here $\mathrm {MS}(L)$ denotes the Kakimizu complex of a link $L$, which records the taut Seifert surfaces for $L$. We also show that the analogous result holds if we study incompressible Seifert surfaces instead of taut ones.References
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Additional Information
- Jessica E. Banks
- Affiliation: Mathematical Institute, University of Oxford, 24–29 St Giles’, Oxford OX1 3LB, England
- Email: jessica.banks@lmh.oxon.org
- Received by editor(s): October 11, 2011
- Received by editor(s) in revised form: March 22, 2012
- Published electronically: March 12, 2013
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 6017-6036
- MSC (2010): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9947-2013-05839-4
- MathSciNet review: 3091274