Isotopies of surfaces in 4-manifolds via banded unlink diagrams
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Publication:2004532
DOI10.2140/gt.2020.24.1519zbMath1452.57017arXiv1804.09169OpenAlexW3100882354MaRDI QIDQ2004532
Maggie Miller, Mark C. Hughes, Seung Won Kim
Publication date: 7 October 2020
Published in: Geometry \& Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09169
surface4-manifoldknotted surfaceband movesKirby diagrambanded unlink diagrambridge trisectionunit surface
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Cites Work
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- Trisecting 4-manifolds
- The topology of four-dimensional manifolds
- Non-orientable surfaces in 4-space
- All 2-dimensional links in 4-space live inside a universal 3-dimensional polyhedron
- Knots in the 4-sphere
- An enumeration of surfaces in four-space
- Gluck twist on a certain family of 2-knots
- On ribbon 2-knots: The 3-manifold bounded by the 2-knots
- Classification of trisections and the Generalized Property R Conjecture
- Surfaces in 4-Manifolds: Concordance, Isotopy, and Surgery
- Deforming Twist-Spun Knots
- The 4-dimensional light bulb theorem
- A chord diagram of a ribbon surface-link
- The Embedding of Two-Spheres in the Four-Sphere
- On a 2-knot group with nontrivial center
- Band-sums are ribbon concordant to the connected sum
- REIDEMEISTER MOVES FOR SURFACE ISOTOPIES AND THEIR INTERPRETATION AS MOVES TO MOVIES
- Twist-Roll Spun Knots
- ON A CALCULUS FOR 2-KNOTS AND SURFACES IN 4-SPACE
- Bridge and pants complexities of knots
- Bridge trisections of knotted surfaces in 4-manifolds
- Twisting Spun Knots
- Bridge trisections of knotted surfaces in 𝑆⁴
- A note on 4-dimensional handlebodies
