1. Isotrivial Lagrangian fibrations of compact hyper-Kähler manifolds
   2023/12/23 by Yoon-Joo Kim, Kim, Yoon-Joo, Radu Laza +3 · 2 citations
   Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Conjecture #FOS: Mathematics #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy #Lagrangian #Mathematical analysis #Mathematics #Pure mathematics #Type (biology)
2. Homological mirror symmetry of toric Fano surfaces via Morse homotopy
   2023/03/14 by Hayato Nakanishi, Nakanishi, Hayato · 1 citation
   Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Combinatorics #Computer science #Differential Geometry (math.DG) #FOS: Mathematics #Fano plane #Fibration #Geometry #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Mirror symmetry #Morse code #Polytope #Pure mathematics #Symmetry (geometry) #Symplectic Geometry (math.SG) #Torus
3. Non-hyperbolicity of holomorphic symplectic varieties
   2022/12/21 by Ljudmila Kamenova, Christian Lehn · 6 citations
   Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Conjecture #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic function #Mathematics #Pure mathematics #Symplectic geometry #Symplectic manifold #Symplectomorphism #Variety (cybernetics) #math.AG #math.CV #math.DG #msc:14B07 #msc:14J10 #msc:32Q45 #msc:32S45 #msc:53C26
4. A short proof of a conjecture of Matsushita
   2022/09/01 by Benjamin Bakker, Bakker, Benjamin · 2 citations
   Mathematics · #14D06 #14D07 #14J42 (primary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Conjecture #FOS: Mathematics #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Lagrangian #Mathematics #Pure mathematics #Torsion (gastropod)
5. Simple fibrations in (1,2)-surfaces
   2022/07/14 by Stephen Coughlan, Coughlan, Stephen, Roberto Pignatelli +1 · 1 citation
   Mathematics · #14E30 #14J15 #14J29 #14J30 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Canonical bundle #Commutative Algebra and Its Applications #FOS: Mathematics #Fibration #Geometry and complex manifolds #Gravitational singularity #Hypersurface #K3 surface #Line bundle #Mathematical analysis #Mathematics #Moduli space #Noether's theorem #Projective line #Projective space #Projective test #Pure mathematics #Simple (philosophy)
6. Boundedness and volume of generalised pairs
   2021/03/27 by Caucher Birkar, Birkar, Caucher · 3 citations
   Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Bounded function #Combinatorics #Computer science #Dimension (graph theory) #Discrete mathematics #Divisor (algebraic geometry) #FOS: Mathematics #Fibration #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Pure mathematics #Set (abstract data type) #Type (biology) #math.AG
7. Synthetic construction of the Hopf fibration in a double orthogonal projection of 4-space
   2021/03/11 by Michal Zamboj · 3 citations
   Computer Science · Mathematics · Arts and Humanities · #Digital Image Processing Techniques #Mathematics and Applications #Architecture and Art History Studies #Orthographic projection #Fibration #Projection (relational algebra) #Stereographic projection #Graphical projection #Hyperplane #Parallel projection #Euclidean space #Representation (politics)
8. Twisting and satellite operations on P-fibered braids
   2020/05/31 by Benjamin Bode, Bode, Benjamin · 2 citations
   Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Braid #Braid group #Closure (psychology) #Combinatorics #FOS: Mathematics #Fibered knot #Fibration #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy #Mathematical analysis #Mathematics #Monic polynomial #Polynomial #Pure mathematics #math.GT
9. Control of Quadrotors Using the Hopf Fibration on SO(3)
   2019/11/27 by Michael Watterson, Vijay Kumar · 2 citations
   Computer Science · Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Algorithm #Artificial intelligence #Ball (mathematics) #Combinatorics #Computer science #Control (management) #Control and Dynamics of Mobile Robots #Control theory (sociology) #Euclidean geometry #Fibration #Geometry #Hopf fibration #Mathematics #Point (geometry) #Pure mathematics #Robotic Path Planning Algorithms #Topology (electrical circuits)
10. Sectorial descent for wrapped Fukaya categories
    2018/09/10 by Sheel Ganatra, J. F. Pardon, Ganatra, Sheel +3 · 16 citations
    Mathematics · #Advanced Algebra and Geometry #Computer science #Descent (aeronautics) #Fibration #Functor #Geometric and Algebraic Topology #Homotopy #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematics #Physics #Pure mathematics #Set (abstract data type)
11. The non-archimedean SYZ fibration
    2018/02/28 by Johannes Nicaise, Chenyang Xu, Tony Yue Yu · 6 citations
    Mathematics · #Advanced Algebra and Geometry #Affine transformation #Algebraic Geometry and Number Theory #Base (topology) #Degenerate energy levels #Fibration #Geometry and complex manifolds #Torus #math.AG
12. When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion
    2017/09/21 by Florent Baume, Mirjam Cvetič, Mirjam Cvetic +2 · 2 citations
    Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Compactification (mathematics) #Fibration #Gauge fixing #Gauge group #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Jacobian matrix and determinant #Nonlinear Waves and Solitons #Quantum gauge theory #Torsion (gastropod) #hep-th
13. Enriched Duality in Double Categories: V-categories and V-cocategories
    2017/04/02 by Christina Vasilakopoulou, Vasilakopoulou, Christina · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Artificial intelligence #Categorical variable #Categorization #Category Theory (math.CT) #Category theory #Computer science #Dual (grammatical number) #Duality (order theory) #FOS: Mathematics #Fibration #Flexibility (engineering) #History #Homotopy and Cohomology in Algebraic Topology #Linguistics #Mathematics #Natural (archaeology) #Perspective (graphical) #Philosophy #Pure mathematics #Statistics #math.CT
14. Legendrian fronts for affine varieties
    2016/10/21 by Roger Casals, Emmy Murphy · 1 citation
    Mathematics · #Affine transformation #Algebraic Geometry and Number Theory #Combinatorics #Fibration #Geometric and Algebraic Topology #Handlebody #Homotopy #Homotopy and Cohomology in Algebraic Topology #Isotopy #Mathematics #Pure mathematics #Rigidity (electromagnetism) #Symplectic geometry #Topology (electrical circuits) #math.AG #math.GT #math.SG #msc:53D05 #msc:53D10 #msc:53D12 #msc:53D37
15. Potentials and Chern forms for Weil–Petersson and Takhtajan–Zograf metrics on moduli spaces
    2016/10/13 by Jinsung Park, Leon A. Takhtajan, Lee-Peng Teo · 1 citation
    Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Hermitian matrix #Holomorphic function #Line bundle #Mathematical analysis #Mathematics #Moduli #Moduli space #Omega #Physics #Pure mathematics #Quantum mechanics #Riemann surface #Space (punctuation)
16. Fibred fibration categories
    2016/02/29 by Taichi Uemura · 1 citation
    Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Categorical variable #Combinatorics #Concatenation (mathematics) #Discrete mathematics #Fibered knot #Fibration #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Type (biology) #Type theory #math.CT
17. A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type
    2016/02/04 by Ilan Barnea, Tomer M. Schlank · 2 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #Base (topology) #Discrete mathematics #Fibration #Functor #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematical analysis #Mathematics #Model category #Pure mathematics #Sphingolipid Metabolism and Signaling #Topos theory #Type (biology)
18. F-theory and all things rational: surveying U(1) symmetries with rational sections
    2015/04/30 by Craig Lawrie, Sakura Schäfer-Nameki, Sakura Schafer-Nameki +1 · 3 citations
    Mathematics · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #Codimension #F-theory #Fibration #Gauge theory #Higgs boson #Homogeneous space #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Supersymmetric gauge theory #hep-th #math.AG
19. The Vietoris–Rips complexes of acircle
    2015/03/31 by Michal Adamaszek, Michał Adamaszek, Henry Adams · 1 citation
    Computer Science · Mathematics · #CW complex #Combinatorics #Contractible space #Fibration #Geometry #Great circle #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Homotopy sphere #Mathematical analysis #Mathematics #Metric space #Pure mathematics #Simplicial complex #Singular homology #Topological and Geometric Data Analysis #Topology (electrical circuits) #Winding number #cs.CG #math.AT #math.CO #math.MG
20. AdS6 solutions of type II supergravity
    2014/06/30 by Fabio Apruzzi, Marco Fazzi, Achilleas Passias +2 · 3 citations
    Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Dual (grammatical number) #Engineering #Fibration #Geology #Higher-dimensional supergravity #Horizon #Killing spinor #Mathematical physics #Mathematics #Metric (unit) #Philosophy #Physics #Pulsars and Gravitational Waves Research #Pure mathematics #Space (punctuation) #Spinor #Supergravity #Supersymmetry #Type (biology) #hep-th
21. On the normality of Higgins commutators
    2013/12/31 by Alan S. Cigoli, James Richard Andrew Gray, James R. A. Gray +1 · 1 citation
    Mathematics · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Context (archaeology) #Epistemology #Fibration #Focus (optics) #Functor #Geography #Homotopy and Cohomology in Algebraic Topology #Mathematics #Normality #Property (philosophy) #Pure mathematics #Statistics #math.CT #msc:08C05 #msc:17A99 #msc:18G50 #msc:20F12
22. Kobayashi pseudometric on hyperkahler manifolds
    2013/08/31 by Ljudmila Kamenova, Steven Lu, Misha Verbitsky · 1 citation
    Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Complex manifold #Conjecture #Curvature #Fibration #Geometry #Geometry and complex manifolds #Hermitian manifold #Holomorphic function #Hyperkähler manifold #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Scalar curvature #math.AG #math.DG
23. Bundles of spectra and algebraic K-theory
    2013/04/30 by John Lind · 1 citation
    Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry and Number Theory #Algebraic number #Classifying space #Cohomology #Fibration #Homotopy #Homotopy and Cohomology in Algebraic Topology #Ring (chemistry) #Space (punctuation) #Spectral line #Spectrum (functional analysis) #Vector bundle #math.AT #math.KT
24. Base Manifolds for Lagrangian Fibrations on Hyperkähler Manifolds
    2013/03/31 by Daniel Greb, Christian Lehn · 2 citations
    Mathematics · #3-manifold #Base (topology) #Closed manifold #Complex manifold #Fibration #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Manifold (fluid mechanics) #Space (punctuation) #math.AG #msc:14D06 #msc:53C26
25. Classical field theories of first order and Lagrangian submanifolds of premultisymplectic manifolds
    2011/10/31 by Cédric M. Campos, Elisa Guzmán, E Guzmán +1 · 1 citation
    Mathematics · Physics and Astronomy · #Applied mathematics #Euler's formula #Euler–Lagrange equation #Fibration #First order #Formalism (music) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Hamiltonian (control theory) #Lagrangian #Manifold (fluid mechanics) #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #math-ph #math.DG #math.MP #msc:53D12 #msc:70H03 #msc:70H05 #msc:70S05
26. Algebras over infinity-operads
    2011/10/08 by Gijs Heuts, Heuts, Gijs · 2 citations
    Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #Equivalence (formal languages) #FOS: Mathematics #Fibration #Formalism (music) #Generalization #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Infinity #Mathematical analysis #Mathematics #Model category #Pure mathematics #Simplicial set #math.AT #math.CT
27. Floer cohomology in the mirror of the projective plane and a binodal cubic curve
    2011/09/30 by James Pascaleff · 2 citations
    Mathematics · #Advanced Combinatorial Mathematics #Cohomology #Collineation #Divisor (algebraic geometry) #Fibration #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mirror symmetry #Projective plane #Quantum cohomology #Real projective plane #Symplectic geometry #math.SG #msc:53D37 #msc:53D40
28. SYZ mirror symmetry for toric Calabi-Yau manifolds
    2010/06/30 by Kwokwai Chan, Siu-Cheong Lau, Naichung Conan Leung · 1 citation
    Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Conjecture #Fibration #Geometric and Algebraic Topology #Geometry and complex manifolds #Manifold (fluid mechanics) #Mirror symmetry #Symmetry (geometry) #Toric variety #Torus #math.AG #math.SG
29. Upper and lower bounds of the (co)chain type level of a space
    2010/06/14 by Katsuhiko Kuribayashi, Kuribayashi, Katsuhiko · 1 citation
    Mathematics · Medicine · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic number #Chain (unit) #Cohomology #Eilenberg–MacLane space #FOS: Mathematics #Fibration #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy group #Mathematical analysis #Mathematics #Ophthalmology and Eye Disorders #Pure mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Type (biology) #math.AT #math.RA #math.RT
30. Lie algebroid fibrations
    2010/01/31 by O. Brahic, Olivier Brahic, Chenchang Zhu · 1 citation
    Mathematics · Physics and Astronomy · #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Connection (principal bundle) #Degree (music) #Exact sequence #Fibration #Geometry #Homotopy #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Lie algebroid #Lie bracket of vector fields #Manifold (fluid mechanics) #Mathematics #Pure mathematics #Vector field #Weight #math-ph #math.DG #math.MP #msc:14F35 #msc:22A22 #msc:53D17

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