A complete invariant for connected surfaces in the 3-sphere
DOI10.1142/S0218216519500913zbMath1439.57041OpenAlexW2994973982WikidataQ126530501 ScholiaQ126530501MaRDI QIDQ5220456
Yi-Sheng Wang, Giovanni Bellettini, Maurizio Paolini
Publication date: 26 March 2020
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218216519500913
Surgery and handlebodies (57R65) Fundamental group, presentations, free differential calculus (57M05) Embeddings in differential topology (57R40) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12) Higher-dimensional knots and links (57K45)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inequivalent handlebody-knots with homeomorphic complements
- Shape reconstruction from apparent contours. Theory and algorithms
- Inequivalent genus 2 handlebodies in \(S^ 3\) with homeomorphic complement
- A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
- On surfaces in 3-sphere: Prime decompositions
- A topological proof of Grushko's theorem on free products
- On irreducible 3-manifolds which are sufficiently large
- Heegaard-Zerlegungen der 3-Sphäre
- Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
- On the imbedding of polyhedra in 3-space
- A TABLE OF GENUS TWO HANDLEBODY-KNOTS UP TO SIX CROSSINGS
- AN ENUMERATION OF THETA-CURVES WITH UP TO SEVEN CROSSINGS
- Knots are Determined by Their Complements
- Heegaard Diagrams of 3-Manifolds
- A Unique Decomposition Theorem for 3-Manifolds with Connected Boundary
- SOME PROPERTIES OF 3-MANIFOLDS WITH BOUNDARY
- Homomorphisms of Knot Groups on Finite Groups
- Diffeomorphisms of the 2-Sphere
- On embeddings of spheres
This page was built for publication: A complete invariant for connected surfaces in the 3-sphere