Concordance invariants of doubled knots and blowing up

DOI10.1090/proc/14320zbMath1430.57003arXiv1712.03486OpenAlexW2963065827MaRDI QIDQ4621387

Se-Goo Kim, Kwanyong Lee

Publication date: 12 February 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.03486

Mathematics Subject Classification ID

Cobordism and concordance in topological manifolds (57N70) Knot theory (57K10)

Cites Work

• Unnamed Item
• Filtering smooth concordance classes of topologically slice knots
• Khovanov homology and the slice genus
• A Legendrian Thurston-Bennequin bound from Khovanov homology
• State models and the Jones polynomial
• Applications of Donaldson's theorems to classical knot concordance, homology 3-spheres and property P
• Knot Floer homology and the four-ball genus
• The slicing number of a knot
• Knot Floer homology of Whitehead doubles
• Ozsváth-Szabó and Rasmussen invariants of doubled knots
• Invariants of knot cobordism
• An endomorphism of the Khovanov invariant
• Inequality on $t_\nu (K)$ defined by Livingston and Naik and its applications
• Gauge theory and Rasmussen's invariant

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