Perverse coherent sheaves on blowup. III: Blow-up formula from wall-crossing
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Publication:542650
DOI10.1215/21562261-1214366zbMath1220.14012arXiv0911.1773OpenAlexW3105723768MaRDI QIDQ542650
Kōta Yoshioka, Hiraku Nakajima
Publication date: 10 June 2011
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.1773
Representations of quivers and partially ordered sets (16G20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
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Blowup equations for refined topological strings, Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. I., Wall-crossing between stable and co-stable ADHM data, Quantum spectral problems and isomonodromic deformations, Perverse Coherent Sheaves on Blow-ups at Codimension 2 Loci, Birational geometry of moduli spaces of perverse coherent sheaves on blow-ups, Topological strings and Wilson loops, Blowup equations for 6d SCFTs. I, D-type minimal conformal matter: quantum curves, elliptic Garnier systems, and the 5d descendants, Wall-crossing for vortex partition function and handsaw quiver variety, Coupling of two conformal field theories and Nakajima-Yoshioka blow-up equations, BPS/CFT correspondence. IV: Sigma models and defects in gauge theory, Instanton counting and O-vertex, Refined BPS invariants of 6d SCFTs from anomalies and modularity, S-duality and supersymmetry on curved manifolds, BPS relations from spectral problems and blowup equations, Donaldson = Seiberg-Witten from Mochizuki's formula and instanton counting, Painlevé equations from Nakajima-Yoshioka blowup relations, Blowup relations on \(\mathbb{C}^2/\mathbb{Z}_2\) from Nakajima-Yoshioka blowup relations, Instantons from blow-up, Wall-crossing and operator ordering for 't Hooft operators in \(\mathcal{N} = 2\) gauge theories, Thermodynamic limit of Nekrasov partition function for 5-brane web with \(O5\)-plane, Cluster Toda chains and Nekrasov functions, Elliptic blowup equations for 6d SCFTs. IV: Matters
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