Zero dimensional Donaldson-Thomas invariants of threefolds

Abstract

Using a homotopy approach, we prove in this paper a conjecture of Maulik, Nekrasov, Okounkov and Pandharipande on the dimension zero Donaldson-Thomas invariants of all smooth complex threefolds.

This is the version published by Geometry & Topology on 29 November 2006

References in corpus (3)

• The intrinsic normal cone
• Donaldson-Thomas invariants via microlocal geometry
• Symmetric obstruction theories and Hilbert schemes of points on threefolds

Cited by in corpus (36)

• Curve counting via stable pairs in the derived category
• Wall-Crossing from Boltzmann Black Hole Halos
• Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds
• Motivic degree zero Donaldson-Thomas invariants
• Zero-dimensional Donaldson-Thomas invariants of Calabi-Yau 4-folds
• 13/2 ways of counting curves
• Donaldson-Thomas theory for Calabi-Yau 4-folds
• Stability conditions and curve counting invariants on Calabi-Yau 3-folds
• Universal Polynomials for Tautological Integrals on Hilbert Schemes
• Higher rank K-theoretic Donaldson-Thomas theory of points
• Hall algebras in the derived category and higher rank DT invariants
• The DT/PT correspondence for smooth curves
• Hilbert schemes and stable pairs: GIT and derived category wall crossings
• Virtual counts on Quot schemes and the higher rank local DT/PT correspondence
• On a computation of rank two Donaldson-Thomas invariants
• Curve counting theories via stable objects II: DT/ncDT flop formula
• Local contributions to Donaldson-Thomas invariants
• On higher rank Donaldson-Thomas invariants
• Derived category of coherent sheaves and counting invariants
• Hall algebras and curve-counting invariants
• Curve counting theories via stable objects I. DT/PT correspondence
• Semi-Perfect Obstruction theory and DT Invariants of Derived Objects
• Tautological integrals on curvilinear Hilbert schemes
• The moduli stack of stable relative ideal sheaves
• BPS state counting on singular varieties
• Elliptic genera from multi-centers
• Curve-counting invariants for crepant resolutions
• Algebraic cobordism revisited
• Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-folds
• D0-D6 states counting and GW invariants
• Wall-crossing for zero-dimensional sheaves and Hilbert schemes of points on Calabi-Yau 4-folds
• Quantum Barnes function as the partition function of the resolved conifold
• Note on the motivic DT/PT correspondence and the motivic Flop formula
• Curve counting invariants around the conifold point
• S-duality for surfaces with $A_n$-type singularities
• Donaldson Thomas invariant of P^1 scroll