Alternating knots with unknotting number one
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Publication:340422
DOI10.1016/j.aim.2016.09.033zbMath1353.57013arXiv1312.1278OpenAlexW2963087536MaRDI QIDQ340422
Publication date: 14 November 2016
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.1278
Dehn surgeryalternating knotunknotting numberbranched double coverchangemaker latticeGoeritz matrixMontesinos trick
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Relations of low-dimensional topology with graph theory (57M15) Low-dimensional topology of special (e.g., branched) coverings (57M12)
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Cites Work
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- Pretzel knots with unknotting number one
- Cosmetic surgeries on knots in \(S^3\)
- Knots with unknotting number one and Heegaard Floer homology
- On the Heegaard Floer homology of branched double-covers
- Khovanov homology and the slice genus
- Knot Floer homology and rational surgeries
- The classification of alternating links
- Knots with unknotting number 1 and essential Conway spheres
- A remark on Khovanov homology and two-fold branched covers
- State models and the Jones polynomial
- Kauffman's polynomial and alternating links
- Homology of group systems with applications to knot theory
- Genus of alternating link types
- On the signature of a link
- On Culler-Shalen seminorms and Dehn filling
- Gauge theory for embedded surfaces. I
- On the Floer homology of plumbed three-manifolds
- Polynomial values, the linking form and unknotting numbers
- An application of gauge theory to four dimensional topology
- Knots.
- The lens space realization problem
- L-space surgeries, genus bounds, and the cabling conjecture
- Donaldson's theorem, Heegaard Floer homology, and knots with unknotting number one
- Unknotting information from Heegaard Floer homology
- Some Examples Related to 4-Genera, Unknotting Numbers and Knot Polynomials
- Non-integer surgery and branched double covers of alternating knots
- A note on unknotting number
- Two-Bridge Links with Unlinking Number One
- Deficiency Symmetries of Surgeries in S3
- The almost alternating diagrams of the trivial knot
- Jones Polynomials of Alternating Links
- Unknotting Information from 4-Manifolds
- UNKNOTTING NUMBERS AND MINIMAL KNOT DIAGRAMS
- Two-Bridge Knots with Unknotting Number One
- On a Certain Numerical Invariant of Link Types
- Note on Complete Sequences of Integers
- Dehn surgery on knots