Gromov-Witten gauge theory

DOI10.1016/j.aim.2015.10.008zbMath1342.14111arXiv0904.4834OpenAlexW2100296335MaRDI QIDQ900850

A. J. Tolland, Constantin Teleman, Edward V. Frenkel'

Publication date: 23 December 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4834

zbMATH Keywords

\(K\)-theorygauge theorysheaf cohomologycoherent sheavesGromov-WittenGIT quotientsArtin stackgauged non-linear sigma-modelstwisted invariants

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Generalizations (algebraic spaces, stacks) (14A20)

Related Items

Properness for scaled gauged maps, Stable quasimaps to GIT quotients, Fine Compactified Moduli of Enriched Structures on Stable Curves, EXTENDING THE DOUBLE RAMIFICATION CYCLE BY RESOLVING THE ABEL-JACOBI MAP, A wonderful embedding of the loop group, The local structure of compactified Jacobians

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compactified Jacobians and Torelli map
• Compactified Picard stacks over the moduli stack of stable curves with marked points
• The index formula for the moduli of \(G\)-bundles on a curve
• A compactification of the moduli space of twisted holomorphic maps
• A degeneration of the moduli space of stable bundles
• Quantum Riemann-Roch, Lefschetz and Serre
• Topological sigma models
• Degenerations of the moduli spaces of vector bundles on curves. I
• Degenerations of the moduli spaces of vector bundles on curves. II. (Generalized Gieseker moduli spaces)
• Gromov-Witten invariants in algebraic geometry
• The intrinsic normal cone
• Quantum \(K\)-theory. I: Foundations
• The quantization conjecture revisited
• Hamiltonian Gromov-Witten invariants
• Stacks of stable maps and Gromov-Witten invariants
• Gauged Gromov-Witten theory for small spheres
• Some theorems on actions of algebraic groups
• The symplectic vortex equations and invariants of Hamiltonian group actions
• Compactifying the space of stable maps
• Instantons beyond topological theory. I
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Gromov-Witten theory of Deligne-Mumford stacks
• A Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
• A Hitchin-Kobayashi correspondence for Kähler fibrations
• The Yang-Mills equations over Riemann surfaces
• Néron models and compactified Picard schemes over the moduli stack of stable curves