Stability conditions and curve counting invariants on Calabi–Yau 3-folds
By Yukinobu Toda. 2011
67 citations recorded by the source corpus.
The purpose of this paper is twofold: first we give a survey on the recent developments of curve counting invariants on Calabi-Yau 3-folds, e.g. Gromov-Witten theory, Donaldson-Thomas theory and Pandharipande-Thomas theory. Next we focus on the proof of the rationality conjecture of the generating series of PT invariants, and discuss its conjectural Gopakumar-Vafa form.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/90a52da3ebd276d128448be0d01aef247769677f
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
- Junliang Shen
- Davesh Maulik
- R. Pandharipande
- D. Huybrechts
- A. Okounkov
- Franccois Charles
- A. Zinger
- Richard P. Thomas
Citations in the corpus
- Cohomological χ–independence for moduli of one-dimensional sheaves and moduli of Higgs bundles (2020, background): “20] on the generalized DT invariants, which in turn implies the strong rationality conjecture for Pandharipande-Thomas invariants [43, 50].”