Topological sigma models

1988/09/01 by Edward Witten · 33 citations
Mathematics · Physics and Astronomy · #BRST quantization #Black Holes and Theoretical Physics #Cohomology #Gauge theory #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Riemann surface #Sigma model #Symplectic geometry #Topological string theory

paper · doi:10.1007/bf01466725

crossref issued 1988/09/01 · crossref published 1988/09/01 · crossref published-print 1988/09/01 · openalex publication_date 1988/09/01 · crossref created 2005/04/13 · crossref deposited 2020/04/06 · openalex created_date 2025/10/10 · crossref indexed 2026/07/23 · openalex updated_date 2026/07/29

Citations

• The moment map and equivariant cohomology
• Topological quantum field theory
• Pseudo holomorphic curves in symplectic manifolds

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• Generalized complex geometry, generalized branes and the Hitchin sigma model
• Comments on BRST quantization of strings
• G-structures and Superstrings from the Worldsheet
• Flat space holography in spin-2 extended dilaton-gravity
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• Euclidean supersymmetry, twisting and topological sigma models
• Worldsheet realization of the refined topological string
• Observables in the equivariant A-model
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• Comments on N N = (2, 2) supersymmetry on two-manifolds
• On the continuum and lattice formulations ofN= 4D= 3 twisted super Yang-Mills
• Geometric transitions on non‐Kähler manifolds
• Topological field theory of dynamical systems
• Jacobi sigma models
• Topological string geometry
• The topological symmetric orbifold
• Topological current algebras in two dimensions
• Issues in topological gauge theory
• N=1Superstring as a Topological Field Theory
• BPS indices, modularity and perturbations in quantum K-theory
• Infinite conformal algebras in supersymmetric theories on four-manifolds
• Correlation functions in massive Landau-Ginzburg orbifolds and tests of dualities
• Topological quantum field theory [wikipedia]