\(K\)-theoretic DT/PT correspondence for toric Calabi-Yau 4-folds

DOI10.1007/s00220-022-04472-0OpenAlexW2952833929MaRDI QIDQ2089737

Martijn Kool, Sergej Monavari, Yalong Cao

Publication date: 24 October 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07856

Mathematics Subject Classification ID

Surfaces and higher-dimensional varieties (14Jxx) Cycles and subschemes (14Cxx) Projective and enumerative algebraic geometry (14Nxx)

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Curve counting via stable objects in derived categories of Calabi-Yau 4-folds, Stable pairs and Gopakumar-Vafa type invariants on holomorphic symplectic 4-folds, Counting sheaves on Calabi-Yau 4-folds. I, A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds, BPS states meet generalized cohomology, Double quiver gauge theory and BPS/CFT correspondence, ADHM in \(8d\), coloured solid partitions and Donaldson-Thomas invariants on orbifolds, The 4-fold Pandharipande-Thomas vertex, On supersymmetric interface defects, brane parallel transport, order-disorder transition and homological mirror symmetry, Probing M-theory with tetrahedron instantons, Gopakumar-Vafa type invariants of holomorphic symplectic 4-folds, Curve counting and DT/PT correspondence for Calabi-Yau 4-folds, Tautological stable pair invariants of Calabi-Yau 4-folds, Universal structures in \(\mathbb{C}\)-linear enumerative invariant theories

Cites Work

• Shifted symplectic structures
• Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
• The 3-fold vertex via stable pairs
• Curve counting via stable pairs in the derived category
• Riemann-Roch theorems and elliptic genus for virtually smooth schemes
• The intrinsic normal cone
• Genus zero Gopakumar-Vafa type invariants for Calabi-Yau 4-folds
• Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds
• Magnificent four with colors
• Tautological stable pair invariants of Calabi-Yau 4-folds
• Canonical vertex formalism in DT theory of toric Calabi-Yau \(4\)-folds
• Stable pairs and Gopakumar-Vafa type invariants for Calabi-Yau \(4\)-folds
• Curve counting via stable objects in derived categories of Calabi-Yau 4-folds
• Orientability of moduli spaces of \(\mathrm{Spin}(7)\)-instantons and coherent sheaves on Calabi-Yau 4-folds
• Equivariant \(K\)-theory and refined Vafa-Witten invariants
• Curve counting and DT/PT correspondence for Calabi-Yau 4-folds
• Orientability for gauge theories on Calabi-Yau manifolds
• Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
• The 2-leg vertex in \(K\)-theoretic DT theory
• Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions
• Counting perverse coherent systems on Calabi-Yau 4-folds
• Curve counting theories via stable objects I. DT/PT correspondence
• Hall algebras and curve-counting invariants
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Lectures on K-theoretic computations in enumerative geometry
• K-theoretic Donaldson–Thomas theory and the Hilbert scheme of points on a surface
• Higher rank K-theoretic Donaldson-Thomas Theory of points
• Stable Pair Invariants of Local Calabi–Yau 4-folds
• Membranes and sheaves
• Gromov–Witten theory and Donaldson–Thomas theory, I
• Magnificent four