2015/08/20 by Lee Rudolph, Rudolph, Lee
Computer Science · Mathematics · #57M25 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.AG #math.GT #math.SG #msc:57M25
paper · pdf · doi:10.48550/arxiv.1508.05073
45 pages, 15 figures
arxiv created 2015/08/20 · openalex publication_date 2015/08/20 · arxiv updated 2015/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By use of a variety of techniques (most based on constructions of quasipositive knots and links, some old and others new), many smooth 3-manifolds are realized as transverse intersections of complex surfaces in complex 3-space with strictly pseudoconvex 5-spheres. These manifolds not only inherit interesting intrinsic structures (eg, they have canonical Stein-fillable contact structures), they also have extrinsic structures of a knot-theoretical nature (eq, the 3-sphere arises in infinitely many distinct ways). This survey is not comprehensive; a number of questions are left open for future work.