Explore a comprehensive lecture on virtual topological invariants of moduli spaces of sheaves on surfaces. Delve into key concepts including the definition of moduli space, ischaemic points, topological Euler number, and modulus basis. Examine the expected dimension and written formulas related to the topic. Investigate two virtual topological concepts and perfect obstruction theory. Gain insights from speaker Lothar GOETTSCHE of ICTP in this in-depth mathematical discussion.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Overview
Syllabus
Intro
What is moduli space
Here ischaemic points
topological Euler number
review modulus basis
expected dimension
before written formula
written formula
two virtual topological
perfect obstruction theory
Taught by
ICTP Mathematics
Related Courses
-
Moduli Spaces of Sheaves, Vafa-Witten Formula and Virtual Invariants
-
Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I
-
Moduli Spaces of Sheaves and Vafa-Witten Formula in Algebraic Geometry
-
ICTP-IGAP Seminar on Algebraic Geometry - Refined Invariants and Vafa-Witten Invariants
-
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
-
Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds
