- The positive scalar curvature cobordism category
2019/04/29 by Johannes Ebert, Oscar Randal‐Williams, Ebert, Johannes +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
- Ricci flow, Killing spinors, and T-duality in generalized geometry
2016/11/27 by Mario García-Fernández, Mario Garcia-Fernandez, Garcia-Fernandez, Mario · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Curvature #Differential geometry #Dilaton #Duality (order theory) #Flow (mathematics) #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holonomy #Killing spinor #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Ricci curvature #Ricci flow #Spinor #String (physics) #Supergravity #Supersymmetry #Symmetry (geometry) #hep-th #math.DG
- E7, Wirtinger inequalities, Cayley 4-form, and homotopy
2008/12/18 by Victor Bangert, Mikhail G. Katz, Steven Shnider +1 · 2 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Mathematics #Homotopy #Pullback #Betti number #Holonomy #Pure mathematics #Manifold (fluid mechanics) #Modulo #Type (biology) #Generalization #Mathematical analysis #Combinatorics
- Membranes for topological M-theory
2005/07/31 by Ling Bao, Viktor Bengtsson, Martin Cederwall +2 · 1 citation
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Combinatorics #Dimensional reduction #Gauge theory #Holonomy #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Superspace #Supersymmetry #Topological string theory #Topology (electrical circuits) #hep-th
- Uniqueness of Diffeomorphism Invariant States on Holonomy–Flux Algebras
2005/04/30 by Jerzy Lewandowski, Andrzej Okolow, Andrzej Okołów +2 · 35 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 Eta-Einstein Sasakian Geometry
2004/06/30 by Charles P. Boyer, Krzysztof Galicki, Paola Matzeu · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Context (archaeology) #Einstein #Foliation (geology) #Geology #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holonomy #Manifold (fluid mechanics) #Mathematical physics #Mathematics #Metric (unit) #Orbifold #Physics #Pure mathematics #Space (punctuation) #hep-th #math.DG
- The holonomy of IIB supercovariant connection
2003/07/25 by G. Papadopoulos, D. Tsimpis, Dimitrios Tsimpis · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Connection (principal bundle) #Cosmology and Gravitation Theories #Geometry #Higher-dimensional supergravity #Holonomy #Killing spinor #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Spinor #Supergravity #Supersymmetry #hep-th
- Constituent monopoles through the eyes of fermion zero-modes
2003/05/08 by Falk Bruckmann, Dániel Nógrádi, Daniel Nogradi +1 · 1 citation
Mathematics · Physics and Astronomy · #Charge (physics) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Constant (computer programming) #Fermion #Function (biology) #Holonomy #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Mode (computer interface) #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #Zero (linguistics) #Zero mode #Zero-point energy #hep-lat #hep-th
- Conifold transitions and five-brane condensation in M-theory onSpin(7) manifolds
2002/07/31 by Sergei Gukov, James Sparks, David Tong · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Conifold #Cosmology and Gravitation Theories #Holonomy #Manifold (fluid mechanics) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Space (punctuation) #Spin (aerodynamics) #String (physics) #String theory #Supersymmetry #Theoretical physics #Topology (electrical circuits) #hep-th
- Rational Homotopy Theory
2001/01/01 by Yves Félix, Stephen Halperin, Jean-Claude Thomas +1 · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebra over a field #Fibration #Holonomy #Homotopy #Homotopy category #Homotopy group #Lie algebra #Lie group #Mathematics #Pure mathematics #Rationalization (economics)
- Special Quantum Field Theories¶in Eight and Other Dimensions
1997/04/30 by Laurent Baulieu, L. Baulieu, H. Kanno +2 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Gauge theory #Holomorphic function #Holonomy #Homotopy and Cohomology in Algebraic Topology #Manifold (fluid mechanics) #Noncommutative and Quantum Gravity Theories #Observable #Quantum #Quantum field theory #Topological quantum field theory #hep-th
- Metrics with Exceptional Holonomy
1987/11/01 by Robert L. Bryant · 18 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research #Holonomy #Mathematics #Pure mathematics #Algebra over a field
- Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
1983/12/12 by Barry Simon · 66 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Algebraic structures and combinatorial models #Berry connection and curvature #Connection (principal bundle) #Eigenvalues and eigenvectors #Geometric phase #Geometry #Hermitian matrix #Holonomy #Mathematical physics #Mathematics #Parallel transport #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Theoretical physics #Topological Materials and Phenomena
- A theorem on holonomy
1953/01/01 by W. Ambrose, I. M. Singer · 47 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Holonomy #Mathematics #Mathematics and Applications #Pure mathematics #Relativity and Gravitational Theory