Atiyah classes and the essential obstructions in deforming a singular \(G_2\)-instanton
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Publication:2114179
DOI10.1007/s00209-021-02897-2zbMath1493.53031arXiv2011.15042OpenAlexW3214206104MaRDI QIDQ2114179
Publication date: 15 March 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.15042
Applications of global analysis to structures on manifolds (57R57) Exotic index theories on manifolds (58J22) Issues of holonomy in differential geometry (53C29) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Connections (general theory) (53C05) (G)-structures (53C10)
Cites Work
- Unnamed Item
- Unnamed Item
- Geometry of special holonomy and related topics
- \(\mathrm{G}_2\)-instantons over twisted connected sums: an example
- On the transitivity of holonomy systems
- Coassociative 4-folds with conical singularities
- Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
- Vector bundles on complex projective spaces
- Tangent cones of Hermitian Yang-Mills connections with isolated singularities
- Perturbing away higher dimensional singularities from area minimizing hypersurfaces
- Desingularisation of Einstein metrics. I
- Gauge theory and calibrated geometry. I
- Construction of \(\mathrm{G}_2\)-instantons via twisted connected sums
- \(\mathrm{G}_{2}\)-instantons over twisted connected
- \(\mathrm{G}_2\) manifolds with nodal singularities along circles
- Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
- Complex Analytic Connections in Fibre Bundles
- Area minimizing hypersurfaces with isolated singularities.
- Elliptic Partial Differential Equations of Second Order
- Hermitian Yang–Mills metrics on reflexive sheaves over asymptotically cylindrical Kähler manifolds
- Deformations Of Multivalued Harmonic Functions
- Gluing Eguchi‐Hanson Metrics and a Question of Page