- The positive scalar curvature cobordism category
2019/04/29 by Johannes Ebert, Ebert, Johannes, Oscar Randal‐Williams +1 · 3 citations
Mathematics · Medicine · #19K56 #53C27 #55P47 #55R35 #57R22 #57R65 #57R90 #58D05 #58D17 #58J20 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Cobordism #Curvature #Diffeomorphism #FOS: Mathematics #Geometric Topology (math.GT) #Geometry #Holonomy #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Ophthalmology and Eye Disorders #Pure mathematics #Scalar curvature
- Extremal Lyapunov exponents: an invariance principle and applications
2010/04/20 by Artur Avila, Marcelo Viana · 36 citations
Mathematics · Physics and Astronomy · #Automorphism #Bernoulli's principle #Chaos control and synchronization #Chaotic #Diffeomorphism #Ergodic theory #Geometry #Invariant (physics) #Lyapunov exponent #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Quantum chaos and dynamical systems #Symplectic geometry #Torus
- Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
2005/04/30 by Jerzy Lewandowski, Andrzej Okołów, Andrzej Okolow +2 · 34 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Diffeomorphism #Hamiltonian (control theory) #Holonomy #Invariant (physics) #Loop quantum gravity #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Observable #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #gr-qc #hep-th #math-ph #math.MP
- On diffeomorphisms over surfaces trivially embedded in the 4–sphere
2002/10/03 by Susumu Hirose · 1 citation
Mathematics · Physics and Astronomy · #Diffeomorphism #Geometric and Algebraic Topology #Geometry #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Quadratic equation #Quantum chaos and dynamical systems #Surface (topology) #math.GT #msc:20F38 #msc:57N05 #msc:57N10
- Finiteness of classifying spaces of relative diffeomorphism groups of 3–manifolds
1997/12/21 by Allen Hatcher, Darryl McCullough · 2 citations
Computer Science · Mathematics · #Abelian group #Boundary (topology) #Class (philosophy) #Classifying space #Covering space #Diffeomorphism #Fundamental group #Geometric and Algebraic Topology #Group (periodic table) #Homotopy #Homotopy and Cohomology in Algebraic Topology #Homotopy group #Identity (music) #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Pure mathematics #Space (punctuation) #Topological and Geometric Data Analysis #math.GT #msc:55R35 #msc:57M99 #msc:58D99
- Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
1995/04/30 by Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf +3 · 36 citations
Mathematics · Physics and Astronomy · #Diffeomorphism #Differential geometry #Homotopy and Cohomology in Algebraic Topology #Invariant (physics) #Invariant theory #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons #Quantization (signal processing) #Quantum field theory #Vector space #gr-qc
- Discreteness of area and volume in quantum gravity
1994/11/02 by Carlo Rovelli, Lee Smolin · 13 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Diffeomorphism #Eigenvalues and eigenvectors #Hilbert space #Immirzi parameter #Loop quantum gravity #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum gravity #Quantum mechanics #Spin foam #Spin network #gr-qc