Topological aspects of Yang-Mills theory
From MaRDI portal
Publication:1250461
DOI10.1007/BF01609489zbMath0387.55009OpenAlexW2070567297MaRDI QIDQ1250461
Michael F. Atiyah, John D. S. Jones
Publication date: 1978
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01609489
Index theory and related fixed-point theorems on manifolds (58J20) Classification of fiber spaces or bundles in algebraic topology (55R15)
Related Items
Monopoles and maps from \(S^ 2\) to \(S^ 2\); the topology of the configuration space, A proof of the axial anomaly, A symmetric family of Yang-Mills fields, Donaldson wall-crossing formulas via topology, The Kuranishi map for vector bundles on certain products of curves, Geometrical properties of gauge theories, Topological anomalies: explicit examples, Spaces of algebraic maps from real projective spaces to toric varieties, Differential-geometric structures and gauge theories, The topology of the space of rational maps into generalized flag manifolds, The global structure of the zero set of a family of semilinear Fredholm maps, The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories, Homology of the double and triple loop space of \(SO(n)\), Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces, A framework for Morse theory for the Yang-Mills functional, The Atiyah-Jones Conjecture, 25 open questions about vector bundles and their moduli, Holomorphic curves in loop groups, The stable cohomology of moduli spaces of sheaves on surfaces, Holomorphic bundles on the blown-up plane and the bar construction, Non-self-dual Yang-Mills connections with nonzero Chern number, The homotopy type of spaces of resultants of bounded multiplicity, Configuration spaces and the space of rational curves on a toric variety, Infinite dimensional cycles associated to operators, The topology of spaces of rational functions, ``Bubbling and topological degeneration in the calculus of variations, The mod-p homology of the classifying spaces of certain gauge groups, On the collapse of certain Eilenberg-Moore spectral sequences., On the geometry of moduli spaces of anti-self-dual connections, Spaces of non-resultant systems of bounded multiplicity determined by a toric variety, Invariant Connections and Yang-Mills Solutions, Geometry and topology of anti-BRST symmetry in quantized Yang–Mills gauge theories, A theory of infinite dimensional cycles for Dirac operators, Observables in topological Yang-Mills theory and the Gribov problem, Configuration space models for spaces of maps from a Riemann surface to complex projective space, Topology and physics, The geometry of gauge field copies, Yang-Mills and bundles over algebraic curves, The Atiyah-Jones conjecture for rational surfaces, The mod 2 homology of Sp (n) instantons and the classifying space of the gauge group, Existence of a new instanton in constrained Yang-Mills-Higgs theory., On the configuration space of gauge theories., The topology of rational functions and divisors of surfaces, Real instantons, Dirac operators and quaternionic classifying spaces, A note on families of Dirac operators, H. Weyl’s Deep Insights intotheMathematicalandPhysicalWorlds: His Important Contribution to the Philosophy of Space, Time and Matter, Transversal Dirac families in Riemannian foliations, Dirac operators coupled to instantons on positive definite four-manifolds, Atiyah’s work on holomorphic vector bundles and gauge theories, Non-self-dual Yang-Mills connections with quadrupole symmetry, An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg–Witten Invariants, DIFFERENTIAL GEOMETRY FROM QUANTUM FIELD THEORY, Topology of the moduli space for reachable linear dynamical systems: The complex case, Yang–Mills field quantization in the factor space, Generating varieties, Bott periodicity and instantons, The topology of the space of holomorphic maps with bounded multiplicity, Geometric structure on the orbit space of gauge connections, Stability in Yang-Mills theories, Unnamed Item, STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES, STABILITY THEOREMS FOR SPACES OF RATIONAL CURVES, Classifying Spaces and Dirac Operators Coupled to Instantons, The topology of the space of \(J\)-holomorphic maps to \(\mathbb C\mathbb P^2\), The homotopy type of spaces of rational curves on a toric variety, Orientations for DT invariants on quasi-projective Calabi-Yau 4-folds, The fermion determinant in two dimensional Minkowski space: Zeros and related properties, Quantum Yang-Mills on the two-sphere, BRS cohomology and topological anomalies, The geometry of gauge fields, On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth, BRST inner product spaces and the Gribov obstruction, Michel theory of symmetry breaking and gauge theories, Degeneracy loci of families of Dirac operators, The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I, Second quantization, projective modules, and local gauge invariance, Instantons in two and four dimensions, Monopoles, braid groups, and the Dirac operator, \(SO\)(3) monopoles, level-one Seiberg--Witten moduli spaces, and Witten's conjecture in low degrees, The based \(\text{SU}(n)\)-instanton moduli spaces, Algebraic cycles and infinite loop spaces, Truncated symmetric products and configuration spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of instantons
- Restrictions on harmonic maps of surfaces
- The homology of iterated loop spaces
- Instantons and algebraic geometry
- Some remarks on the Gribov ambiguity
- Stable vector bundles and instantons
- The cohomology ring of the colored braid group
- The index of elliptic operators. I
- The index of elliptic operators. IV, V
- Configuration-spaces and iterated loop-spaces
- Deformations of instantons
- Self-duality in four-dimensional Riemannian geometry
- BOTT PERIODICITY AND THE INDEX OF ELLIPTIC OPERATORS