October 17, 2025
Title: Spin^c-structures and Spinors
Speaker: Sven Holtrop
During the last talk, we were introduced to the spin and spin^c group and its
representation. In the 3rd talk of the Seiberg-Witten seminar, we will go from this linear algebra picture to the case of bundles. Specifically, we will focus on obstructions to the existence of spin and spin^c structure on manifolds. From this, we will see that all simply connected 4-manifold admit a spin^c structure. Finally, we will introduce spinors. Along the way, we will cover plenty of examples.