- 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
- Synthetic spectra and the cellular motivic category
2022/12/20 by Piotr Pstrągowski · 7 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cohomology #Derived category #Equivalence (formal languages) #Functor #Hochschild homology #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Model category #Physics #Pure mathematics #Sheaf #Spectral line #Spectral sequence #Spectrum (functional analysis) #Triangulated category
- The triviality of the 61-stem in the stable homotopy groups of spheres
2017/07/31 by Guozhen Wang, Zhouli Xu · 3 citations
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Advanced Topics in Algebra #Mathematics #Triviality #Homotopy group #Homotopy #Spectral sequence #Pure mathematics #Invariant (physics) #Regular homotopy #Mathematical analysis #Combinatorics #Cohomology #Mathematical physics
- 2-track algebras and the Adams spectral sequence
2016/11/24 by Hans-Joachim Baues, Martin Frankland · 1 citation
Chemistry · Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Algorithm #Chemistry #Cohomology #Computation #Computer science #Functor #Homotopy and Cohomology in Algebraic Topology #Mathematics #Number theory #Physics #Pure mathematics #Sequence (biology) #Spectral sequence #Term (time) #Track (disk drive)
- Higher order derived functors and the Adams spectral sequence
2014/05/02 by Hans-Joachim Baues, David Blanc · 1 citation
Chemistry · Mathematics · Medicine · #Algebra over a field #Algebraic structures and combinatorial models #Chain (unit) #Chemistry #Cohomology #Derived functor #Dimension (graph theory) #Ext functor #Functor #Functor category #Homological algebra #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #Mathematics #Order (exchange) #Physics #Pure mathematics #Sequence (biology) #Spectral sequence
- An integral lift, starting in odd Khovanov homology, of Szabó's spectral sequence
2012/05/10 by Simon Beier, Beier, Simon · 1 citation
Chemistry · Computer Science · Mathematics · #55T99 #57M27 #Algebra over a field #Chemistry #Combinatorics #Computer science #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Khovanov homology #Lift (data mining) #Mathematics #Modulo #Pure mathematics #Spectral sequence #Topological and Geometric Data Analysis #math.GT #msc:55T99 #msc:57M27
- Khovanov homology is an unknot-detector
2011/02/10 by P. B. Kronheimer, Tomasz Mrowka · 1 citation
Mathematics · Medicine · #Geometric and Algebraic Topology #Botulinum Toxin and Related Neurological Disorders #Unknot #Khovanov homology #Spectral sequence #Knot (papermaking) #Mathematics #Floer homology #Knot complement #Knot invariant #Pure mathematics #Homology (biology) #Cohomology #Combinatorics #Knot theory #Algebra over a field #Genetics #Biology
- On the Heegaard Floer homology of branched double-covers
2004/10/07 by Peter Ozsváth, Zoltán Szabó · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Amino acid #Cellular homology #Combinatorics #Floer homology #Geometric and Algebraic Topology #Heegaard splitting #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Khovanov homology #Link (geometry) #Mathematics #Morse homology #Pure mathematics #Spectral sequence #Topology (electrical circuits)
- Differentials in the homological homotopy fixed point spectral sequence
2004/06/30 by Robert R. Bruner, Robert R Bruner, John Rognes · 1 citation
Computer Science · Mathematics · #Commutative property #Fixed point #Hochschild homology #Homological algebra #Homology (biology) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Polynomial and algebraic computation #Spectral sequence #Topological and Geometric Data Analysis #Whitehead theorem #math.AT #msc:19D55 #msc:55P43 #msc:55P91 #msc:55S12 #msc:55T05
- Hodge Theory and Complex Algebraic Geometry II
2003/07/03 by C. Voisin, Leila Schneps, Claire Voisin · 1 citation
Computer Science · Mathematics · #Abelian group #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic cycle #Algebraic geometry #Algebraic geometry and analytic geometry #Algebraic graph theory #Algebraic number #Algebraic surface #Atiyah–Singer index theorem #Cohomology #Differential equation #Differential geometry #Discrete mathematics #Filtration (mathematics) #Geometry #Graph #Hodge conjecture #Hodge dual #Hodge structure #Hodge theory #Homotopy and Cohomology in Algebraic Topology #Infinitesimal #Invariant (physics) #Mathematical analysis #Mathematical proof #Mathematics #Monodromy #Ordinary differential equation #Polynomial and algebraic computation #Pure mathematics #Spectral sequence #Transversality #Triviality
- On the Rational Homotopy Type of Configuration Spaces
1994/03/01 by Igor Kriz, Igor Kříž · 7 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Classifying space #Cohomology #Combinatorics #Filtration (mathematics) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Spectral sequence #Type (biology)
- A Novice's guide to the adams-novikov spectral sequence
1978/01/01 by Douglas C. Ravenel · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Biology #Calculus (dental) #Genetics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Mathematics education #Medicine #Novikov self-consistency principle #Pure mathematics #Sequence (biology) #Spectral sequence
- Topology of quaternionic manifolds
1965/01/01 by Vivian Yoh Kraines · 2 citations
Mathematics · Computer Science · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Topological and Geometric Data Analysis #Holonomy #Hyperkähler manifold #Ricci-flat manifold #Mathematics #Pure mathematics #Betti number #Spectral sequence #Quaternionic representation #Connected sum #Manifold (fluid mechanics) #Cohomology #Riemannian geometry #Differential topology #Group (periodic table) #Topology (electrical circuits) #Mathematical analysis #Simply connected space #Scalar curvature #Combinatorics #Curvature #Geometry #Physics #Irreducible representation