Hilbert Schemes, Donaldson-Thomas Theory, Vafa-Witten and Seiberg Witten theories

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.

Added 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 (1)

• A theory of the invariants obtained from the moduli stacks of stable objects on a smooth polarized surface