Harmonic Z/2 spinors and wall-crossing in Seiberg-Witten theory

Name: Harmonic Z/2 spinors and wall-crossing in Seiberg-Witten theory
Start: 2018-10-19T15:30:00-04:00
End: 2018-10-19T16:30:00-04:00
Location: Science Center 507

SEMINARS: GAUGE THEORY AND TOPOLOGY, SEMINARS: SYMPLECTIC GEOMETRY

When: October 19, 2018

3:30 pm - 4:30 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Aleksander Doan - Stony Brook

The notion of a harmonic Z/2 spinor was introduced by Taubes as an abstraction of various limiting objects appearing in compactifications of gauge-theoretic moduli spaces. I will explain this notion and discuss an existence result for harmonic Z/2 spinors on three-manifolds. The proof uses a wall-crossing formula for solutions of generalized Seiberg-Witten equations in dimension three, a result itself motivated by Yang-Mills theory on Riemannian manifolds with special holonomy G_2. The talk is based on joint work with Thomas Walpuski.