Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten theories
arXiv:1911.01796
Abstract
This article provides a summary of arXiv:1701.08899 and arXiv:1701.08902 where the authors studied the enumerative geometry of nested Hilbert schemes of points and curves on algebraic surfaces and their connections to threefold theories, and in particular relevant Donaldson-Thomas, Vafa-Witten and Seiberg-Witten theories.
arXiv commentAdded a picture which was mistakenly missing, also updated some of the references. 10 pages. arXiv admin note: substantial text overlap with arXiv:1701.08899
References in corpus (7)
- On the Cobordism Class of the Hilbert Scheme of a Surface
- Stable pairs and BPS invariants
- The 3-fold vertex via stable pairs
- Reduced classes and curve counting on surfaces I: theory
- Universal polynomials for singular curves on surfaces
- A theory of the invariants obtained from the moduli stacks of stable objects on a smooth polarized surface
- Counting curves on surfaces in Calabi-Yau 3-folds