Abstract

Last week, we have encountered the problems which motivate the need for global Kuranishi charts. This week we will look at various operations on global Kuranishi charts, which give different presentations of equivalent derived orbifolds. This flexibility is important in the construction of global Kuranishi charts. If time permits, we will give an overview of the constructions by Abouzaid-McLean-Smith, Hirschi-Swaminathan or Bai-Xu. This illustrates that global Kuranishi are not merely an aesthetic presentation but are of great usefulness in practice.

And so, my fellow symplectic topologists: ask not what global Kuranishi charts can do for you — ask what you can do for global Kuranishi charts.