- The special fiber of the motivic deformation of the stable homotopy category is algebraic
2021/01/01 by Bogdan Gheorghe, Guozhen Wang, Zhouli Xu · 6 citations
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic number #Algebraic structures and combinatorial models #Cofibration #Composite material #Fiber #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy lifting property #Homotopy sphere #Mathematical analysis #Mathematics #Pure mathematics #n-connected
- Homotopical Quantum Field Theory
2018/02/22 by Donald Yau · 1 voice
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Axiom #Geometry #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Regular homotopy #math-ph #math.AT #math.CT #n-connected
- Nilpotence and descent in equivariant stable homotopy theory
2016/10/13 by Akhil Mathew, Niko Naumann, Justin Noel · 26 citations
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Cofibration #Descent (aeronautics) #Equivariant map #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Regular homotopy #n-connected
- The six operations in equivariant motivic homotopy theory
2016/10/02 by Marc Hoyois · 28 citations
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cofibration #Equivariant map #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy hypothesis #Mathematics #Pure mathematics #Regular homotopy #n-connected
- Categorical Homotopy Theory
2014/05/26 by Emily Riehl · 1 citation
Mathematics · Computer Science · #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #Logic, programming, and type systems #Homotopy #Mathematics #Categorical variable #Model category #Functor #Cofibration #Algebra over a field #Homotopy hypothesis #Category theory #Axiom #Perspective (graphical) #Pure mathematics #Homotopy category #n-connected #Whitehead theorem #Homotopy lifting property #Geometry
- Homotopy Classification of Bosonic String Field Theory
2014/04/30 by Korbinian Münster, Ivo Sachs · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Non-critical string theory #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #String (physics) #String field theory #Theoretical physics #Topological quantum field theory #Type I string theory #n-connected
- Chern–Weil forms and abstract homotopy theory
2013/04/17 by Daniel S. Freed, Michael J. Hopkins · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra #Mathematics #Pure mathematics #Functor #Homotopy #Equivariant map #Simplicial set #Sheaf #Invariant (physics) #Algebra over a field #Cofibration #Hodge theory #Chern class #n-connected #Homotopy category #Homotopy lifting property #Cohomology
- Configuration spaces are not homotopy invariant
2005/01/07 by Riccardo Longoni, Paolo Salvatore · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Cofibration #Conjecture #Counterexample #Discrete mathematics #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Homotopy lifting property #Homotopy sphere #Invariant (physics) #Mathematical physics #Mathematics #Pure mathematics #Regular homotopy #Whitehead theorem #n-connected
- On the homotopy types of compact Kähler and complex projective manifolds
2003/12/01 by Claire Voisin · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Combinatorics #Complex dimension #Complex projective space #Dimension (graph theory) #Geometry and complex manifolds #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy sphere #Kodaira dimension #Kähler manifold #Manifold (fluid mechanics) #Mathematics #Projective space #Projective test #Pure mathematics #Regular homotopy #Simply connected space #Topology (electrical circuits) #Type (biology) #math.AG #math.SG #n-connected
- Cochains and homotopy type
2003/11/03 by Michael A. Mandell · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Cohomology #Eilenberg–MacLane space #Functor #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Mathematics #Nilpotent #Pure mathematics #Type (biology) #math.AT #msc:55P15 #msc:55Q05 #n-connected
- Modules of topological spaces, applications to homotopy limits andE ? structures
1992/08/01 by J. Hollender, R. M. Vogt · 4 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Algebraic structures and combinatorial models #Cofibration #Combinatorics #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy lifting property #Mathematics #Pure mathematics #Sphingolipid Metabolism and Signaling #Topological space #Topology (electrical circuits) #n-connected
- Stable Homotopy Groups of Spheres
1990/01/01 by Stanley O. Kochman · 2 citations
Mathematics · #Algebra over a field #Algebraic number #Algebraic topology #Algorithm #Astronomy #Bott periodicity theorem #Combinatorics #Computation #History and Theory of Mathematics #Homotopy #Homotopy analysis method #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Homotopy sphere #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Mathematics and Applications #Physics #Pure mathematics #Regular homotopy #SPHERES #Topology (electrical circuits) #n-connected
- Real homotopy theory of K�hler manifolds
1975/10/01 by Pierre Deligne, Phillip Griffiths, John Morgan +1 · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Cofibration #Geometry #Geometry and complex manifolds #Homotopy #Homotopy and Cohomology in Algebraic Topology #Hyperkähler manifold #Mathematics #Pure mathematics #Regular homotopy #Ricci-flat manifold #Scalar curvature #n-connected
- On The Homotopy Groups of Spheres and Rotation Groups
1942/10/01 by George W. Whitehead · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Combinatorics #Group (periodic table) #Homomorphism #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy category #Homotopy group #Homotopy sphere #Isomorphism (crystallography) #Mathematics #Ophthalmology and Eye Disorders #Pure mathematics #Regular homotopy #Topological group #Topology (electrical circuits) #n-connected