The Michigan Mathematical Journal

Correction Terms and the Nonorientable Slice Genus

Marco Golla and Marco Marengon

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Abstract

By considering negative surgeries on a knot K in S3, we derive a lower bound on the nonorientable slice genus γ4(K) in terms of the signature σ(K) and the concordance invariants Vi(K¯); this bound strengthens a previous bound given by Batson and coincides with Ozsváth–Stipsicz–Szabó’s bound in terms of their υ invariant for L-space knots and quasi-alternating knots. A curious feature of our bound is superadditivity, implying, for instance, that the bound on the stable nonorientable slice genus is sometimes better than that on γ4(K).

Article information

Source
Michigan Math. J., Volume 67, Issue 1 (2018), 59-82.

Dates
Received: 8 August 2016
Revised: 1 February 2017
First available in Project Euclid: 29 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.mmj/1511924604

Digital Object Identifier
doi:10.1307/mmj/1511924604

Mathematical Reviews number (MathSciNet)
MR3770853

Zentralblatt MATH identifier
06965589

Subjects
Primary: 57M27: Invariants of knots and 3-manifolds
Secondary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 52R58

Citation

Golla, Marco; Marengon, Marco. Correction Terms and the Nonorientable Slice Genus. Michigan Math. J. 67 (2018), no. 1, 59--82. doi:10.1307/mmj/1511924604. https://projecteuclid.org/euclid.mmj/1511924604


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