- Metastable complex vector bundles over complex projective spaces
2022/02/23 by Hu Yang, Hu, Yang · 1 citation
Mathematics · #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Characteristic class #Chern class #Combinatorics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Modulo #Pure mathematics #Rank (graph theory) #Vector bundle
- Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
2013/07/31 by Hsiang-Hsuan Hung, Victor Chua, Lei Wang +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Chern class #Fermion #Invariant (physics) #Lattice (music) #Monte Carlo method #Phase transition #Physics #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Symmetry protected topological order #Thermodynamic limit #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #cond-mat.str-el
- Vector Bundles and Monads On Abelian Threefolds
2013/05/09 by Martin G. Gulbrandsen · 1 citation
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Nonlinear Waves and Solitons #Mathematics #Vector bundle #Pure mathematics #Moduli space #Abelian group #Morphism #Chern class #Rank (graph theory) #Combinatorics
- 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
- Distant-neighbor hopping in graphene and Haldane models
2012/12/31 by Doru Sticlet, Frédéric Piéchon · 2 citations
Materials Science · Physics and Astronomy · #Charge (physics) #Chern class #Condensed matter physics #Dispersion (optics) #Graphene #Graphene research and applications #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Space (punctuation) #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall
- Kähler–de Rham Cohomology and Chern Classes
2011/03/21 by Donu Arapura, Su-Jeong Kang · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Geometry and complex manifolds #Mathematics #Chern class #Chern–Weil homomorphism #Pure mathematics #Vector bundle #Characteristic class #Cohomology #Lift (data mining) #Hodge theory #Variety (cybernetics) #Algebraic variety #De Rham cohomology #Hodge conjecture #Algebraic number #Algebra over a field #Mathematical analysis #Equivariant cohomology
- Inversion-symmetric topological insulators
2010/10/21 by Taylor L. Hughes, Emil Prodan, B. Andrei Bernevig · 3 citations
Mathematics · Physics and Astronomy · #Chern class #Combinatorics #Condensed matter physics #Eigenvalues and eigenvectors #Gapless playback #Geometry #Hamiltonian (control theory) #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.mes-hall #cond-mat.other
- Characteristic Classes. (AM-76)
1974/12/31 by John Milnor, James Stasheff · 9 citations
Mathematics · #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #Characteristic class #Mathematics #Cohomology #Chern class #Differential (mechanical device) #Algebraic topology #Class (philosophy) #Differential form #Cover (algebra) #Euler characteristic #Algebra over a field #Pure mathematics #Topology (electrical circuits) #Differential calculus #Differential topology #Algebraic number #Fiber bundle #Euler's formula #Differential geometry #Bundle #Geometry #Computer science #Mathematical analysis #Combinatorics #Physics