Higher rank K-theoretic Donaldson-Thomas Theory of points

DOI10.1017/fms.2021.4zbMath1462.14057arXiv2003.13565OpenAlexW3134328733MaRDI QIDQ4965875

Sergej Monavari, Andrea T. Ricolfi, N. Fasola

Publication date: 10 March 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13565

zbMATH Keywords

partitionstring theoryobstruction theoryQuot schemeDonaldson-Thomas theoryvirtual fundamental classlocal Calabi-Yau \(3\)-foldMacMahon function

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (19)

Double nested Hilbert schemes and the local stable pairs theory of curves ⋮ Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics ⋮ Tetrahedron instantons ⋮ Virtual classes and virtual motives of Quot schemes on threefolds ⋮ On the motive of the nested Quot scheme of points on a curve ⋮ Rank 𝑟 DT theory from rank 1 ⋮ A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds ⋮ Framed motivic Donaldson–Thomas invariants of small crepant resolutions ⋮ ADHM in \(8d\), coloured solid partitions and Donaldson-Thomas invariants on orbifolds ⋮ On the Behrend function and the blowup of some fat points ⋮ A sign that used to annoy me, and still does ⋮ Probing M-theory with tetrahedron instantons ⋮ The equivariant Atiyah class ⋮ The local motivic DT/PT correspondence ⋮ Framed sheaves on projective space and Quot schemes ⋮ Virtual equivariant Grothendieck-Riemann-Roch formula ⋮ Canonical vertex formalism in DT theory of toric Calabi-Yau \(4\)-folds ⋮ On the M2-brane index on noncommutative crepant resolutions ⋮ \(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds

Cites Work

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• The Euler characteristic of the generalized Kummer scheme of an abelian threefold
• \(\mathcal{N} = 2\) gauge theories, instanton moduli spaces and geometric representation theory
• Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
• Fixed point loci of moduli spaces of sheaves on toric varieties
• Link homologies and the refined topological vertex
• The DT/PT correspondence for smooth curves
• Rationality of descendent series for Hilbert and Quot schemes of surfaces
• Defects, nested instantons and comet-shaped quivers
• Virtual intersections on the Quot scheme and Vafa-Intriligator formulas
• Zero dimensional Donaldson--Thomas invariants of threefolds
• Donaldson-Thomas type invariants via microlocal geometry
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• Symmetric obstruction theories and Hilbert schemes of points on threefolds
• Virtual fundamental classes via dg-manifolds
• Algebraic cobordism revisited
• Riemann-Roch theorems and elliptic genus for virtually smooth schemes
• Instanton partition functions and M-theory
• Localization of virtual classes
• The intrinsic normal cone
• A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on \(K3\) fibrations.
• Motivic degree zero Donaldson-Thomas invariants
• Geometry of \((0,2)\) Landau-Ginzburg orbifolds.
• Magnificent four with colors
• The equivariant Atiyah class
• Virtual counts on Quot schemes and the higher rank local DT/PT correspondence
• Virtual classes and virtual motives of Quot schemes on threefolds
• Equivariant \(K\)-theory and refined Vafa-Witten invariants
• On the motive of the Quot scheme of finite quotients of a locally free sheaf
• Elliptic non-abelian Donaldson-Thomas invariants of \( \mathbb{C}^3 \)
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Refined, motivic, and quantum
• Cohomological Donaldson-Thomas theory
• Segre classes and Hilbert schemes of points
• The local motivic DT/PT correspondence
• REFINED BPS STATE COUNTING FROM NEKRASOV'S FORMULA AND MACDONALD FUNCTIONS
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Lectures on K-theoretic computations in enumerative geometry
• Virtual pullbacks in K-theory
• Rank 2 Sheaves on Toric 3-Folds: Classical and Virtual Counts
• Local Contributions to Donaldson–Thomas Invariants
• K-theoretic Donaldson–Thomas theory and the Hilbert scheme of points on a surface
• Hall algebras in the derived category and higher-rank DT invariants
• Higher rank sheaves on threefolds and functional equations
• Membranes and sheaves
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Gromov–Witten theory and Donaldson–Thomas theory, II
• Magnificent four

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