Department of Mathematics - Algebra and Geometry Seminar - Cousins of relative Donaldson-Thomas theory in dimension 4

The goal of this talk is to give a few examples of moduli spaces originated from relative Donaldson-Thomas theory in dimension 4. Attempts in finding numerical invariants via these moduli spaces lead to a question of functoriality of the cohomology or K-theory of these moduli spaces. Invariants arising from the functoriality in examples will be given. The original parts of the talk are based on a project joint with Cao, and partially with Zhou.