Notices of the International Congress of Chinese Mathematicians

Volume 7 (2019)

Number 2

Hilbert schemes, Donaldson–Thomas theory, Vafa–Witten and Seiberg–Witten theory

Pages: 25 – 31



Artan Sheshmani (Center for Mathematical Sciences and Applications, Harvard University; Centre for Quantum Geometry of Moduli Spaces, Aarhus University, Aarhus, Denmark; and the Laboratory of Mirror Symmetry, N.R.U., Moscow, Russia)


This article provides the summary of [GSY17a] and [GSY17b] 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.

Published 8 August 2019