- Unknotting number is not additive under connected sum
2025/06/30 by Mark Brittenham, Susan Hermiller, Brittenham, Mark +1 · 5 voices · 5 citations
Mathematics · #Connected sum #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Knot (papermaking) #Knot theory #Sequence (biology) #Upper and lower bounds
- Oka-1 manifolds: New examples and properties
2024/12/23 by Franc Forstnerič, Finnur Lárusson · 3 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic number #Class (philosophy) #Connected sum #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic function #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Riemann surface #Simply connected space
- On the boundaries of highly connected, almost closed manifolds
2023/01/01 by Robert Burklund, Jeremy Hahn, Andrew Senger · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Bounding overwatch #Bracket #Class (philosophy) #Cohomology #Combinatorics #Conjecture #Connected sum #Geometric and Algebraic Topology #Geometry #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Parallelizable manifold #Physics #Pure mathematics #SPHERES #Simply connected space #Spectral sequence
- Knots with equal bridge index and braid index
2021/08/26 by Yuanan Diao, Diao, Yuanan, Claus Ernst +3 · 1 citation
Computer Science · Mathematics · #Algebraic number #Braid #Braid group #Combinatorics #Conjecture #Connected sum #Crossing number (knot theory) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Knot (papermaking) #Knot invariant #Knot theory #Mathematical analysis #Mathematics #Simply connected space #math.GT #semigroups and automata theory
- Primary decomposition in the smooth concordance group of topologically slice knots
2019/10/31 by Jae Choon Cha, Cha, Jae Choon · 1 citation
Mathematics · Medicine · #57 #Bioinformatics #Biology #Botulinum Toxin and Related Neurological Disorders #Combinatorics #Concordance #Connected sum #Decomposition #FOS: Mathematics #Floer homology #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group (periodic table) #Homology (biology) #Knot (papermaking) #Mathematics #Physics #Pure mathematics #math.GT #msc:57
- Cohomogeneity one topological manifolds revisited
2017/08/20 by Fernando Galaz-García, Zarei, Masoumeh, Masoumeh Zarei +1 · 1 citation
Computer Science · Mathematics · #Combinatorics #Connected sum #Curvature #Equivariant map #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Pure mathematics #Ricci-flat manifold #Scalar curvature #Simply connected space #Topological and Geometric Data Analysis #Topological group #Topological manifold #Topological space #Topological tensor product #Topology (electrical circuits)
- New invariants ofG2–structures
2012/11/30 by Diarmuid Crowley, Johannes Nordström · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Connected sum #Geometric and Algebraic Topology #Holonomy #Homotopy #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Modulo #Simply connected space #Torsion (gastropod) #math.DG #math.GT #msc:53C10 #msc:53C25 #msc:53C27 #msc:57R15 #msc:57R50 #msc:57R90
- Topology of quaternionic manifolds
1965/01/01 by Vivian Yoh Kraines · 2 citations
Computer Science · Mathematics · #Betti number #Cohomology #Combinatorics #Connected sum #Curvature #Differential topology #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Group (periodic table) #Holonomy #Hyperkähler manifold #Irreducible representation #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quaternionic representation #Ricci-flat manifold #Riemannian geometry #Scalar curvature #Simply connected space #Spectral sequence #Topological and Geometric Data Analysis #Topology (electrical circuits)