- Project Year:
2025
- REU Student (s):
Peter Kilway | University of Notre Dame IN
- Student 1 Institution:
University of Notre Dame
- Project Mentor:
Paul Feehan
- Project Mentor Area:
Mathematics
- Project Abstract:
The Moduli Space of ASD connections is an object of great importance in the study of smooth 4-manifolds. Specifically, it produces invariants which can distinguish between smooth structures over 4-manifolds. We provide a revised and reorganized account of the gluing construction for Anti-Self-Dual connections found in sections 7.2.2 and 7.2.3 of The Geometry of 4-Manifolds by Donaldson and Kronheimer, restricted to the case G = U(n), SU(n) and assuming the second cohomology groups of the deformation complex associated to the ASD connections A_i vanish.
