Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I

Explore the intricacies of virtual invariants in moduli spaces of sheaves on surfaces and Vafa-Witten invariants in this comprehensive lecture by Lothar GOETTSCHE. Delve into topics such as logical invariants, mathematical results, singular spaces, virtual order, and general versions. Examine the concept of virtual localization and integration of fixed points. Gain insights into modularity, section numbers, and line runners. Enhance your understanding of advanced mathematical concepts in this in-depth seminar from ICTP Mathematics.

Introduction
Moduli spaces of sheaves
Logical invariants
Mathematical results
Singular space
Virtual order
General version
Buffer
Alternative description
Virtual localization
Integration of fixed points
Modularity
Section numbers
Line runners