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Yang–Mills theories on geometric spaces (Q5069293)

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scientific article; zbMATH DE number 7505724

Language	Label	Description	Also known as
English	Yang–Mills theories on geometric spaces	scientific article; zbMATH DE number 7505724

Statements

scholarly article

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Yang–Mills theories on geometric spaces (English)

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Reviews in Mathematical Physics

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publication date

8 April 2022

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zbMATH Keywords

Yang-Mills theory

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connections

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Chern-Simons functional

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Morse theory

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Calabi-Yau manifolds

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exceptional holonomy

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TQFT structures

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MaRDI profile type

MaRDI publication profile

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A sheaf-theoretic model for SL \((2, \mathbb C)\) Floer homology

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Singularities of differentiable maps, Volume 2. Monodromy and asymptotics of integrals. Transl. from the Russian by Hugh Porteous and revised by the authors and James Montaldi

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Topological quantum field theories

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The Yang-Mills equations over Riemann surfaces

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Construction of instantons

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Self-duality in four-dimensional Riemannian geometry

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The index of elliptic operators. I

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Special quantum field theories in eight and other dimensions

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Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds

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Symmetries and stabilization for sheaves of vanishing cycles

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Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds

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Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds

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Curve counting and DT/PT correspondence for Calabi-Yau 4-folds

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Relative Donaldson-Thomas theory for Calabi-Yau 4-folds

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Orientability for gauge theories on Calabi-Yau manifolds

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Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds

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Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions

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Characteristic classes of Hermitian manifolds

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Characteristic forms and geometric invariants

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An application of gauge theory to four dimensional topology

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Infinite determinants, stable bundles and curvature

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Polynomial invariants for smooth four-manifolds

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Gauge Theory in higher dimensions, II

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Self-dual instantons and holomorphic curves

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An instanton-invariant for 3-manifolds

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Morse theory for Lagrangian intersections

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Witten's complex and infinite dimensional Morse theory

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The topology of four-dimensional manifolds

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Analytische Funktionen einer Quaternionenvariablen

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Categorification of invariants in gauge theory and symplectic geometry

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Calibrated geometries

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Mirror symmetry, Langlands duality, and the Hitchin system

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Fukaya-Seidel category and gauge theory

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The Self-Duality Equations on a Riemann Surface

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Electric-magnetic duality and the geometric Langlands program

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Embedded surfaces and the structure of Donaldson's polynomial invariants

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Topological quantum field theory for Calabi-Yau threefolds and \(G_2\)-manifolds

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Morse Theory. (AM-51)

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Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface

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Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras

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An invitation to Morse theory

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Shifted symplectic structures

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The three-dimensional Fueter equation and divergence-free frames

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Electric-magnetic duality, monopole condensation, and confinement in \(N=2\) supersymmetric Yang-Mills theory

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Fukaya categories and Picard-Lefschetz theory

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Higgs bundles and local systems

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Self-dual Yang-Mills connections on non-self-dual 4-manifolds

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Self-dual connections on 4-manifolds with indefinite intersection matrix

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\(\mathrm{PSL}(2; \mathbb C)\) connections on 3-manifolds with \(L^2\) bounds on curvature

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Gauge theory and calibrated geometry. I

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Connections with \(L^ p \)bounds on curvature

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Removable singularities in Yang-Mills fields

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On the existence of hermitian-yang-mills connections in stable vector bundles

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On the compactness problem for a family of generalized Seiberg-Witten equations in dimension \(3\)

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Supersymmetry and Morse theory

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Topological quantum field theory

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Monopoles and four-manifolds

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Fivebranes and knots

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Conservation of Isotopic Spin and Isotopic Gauge Invariance

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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full work available at URL

https://doi.org/10.1142/s0129055x22300011

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Identifiers

zbMATH Open document ID

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10.1142/S0129055X22300011

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5069293

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