Title：Polyhomogeneous expansions and Z/2-harmonic spinors branching along graphs
Speaker：楊劼之教授（成大數學系）
Time：2022.01.03 (Mon.) 16:00 – 17:00
Venue：https://nthu-meeting.webex.com/join/hyliao
Tea time：因遠距暫停茶會
Abstract:
In this talk, we will first reformulate the linearization of the moduli space of Z/2-harmonic spinors branching along a knot. This formula tells us that the kernel and cokernel of the linearization are isomorphic to the kernel and cokernel of the Dirac equation with a polyhomogeneous boundary condition. In the second part of this talk, I will describe the polyhomogenous expansions for the Z/2-harmonic spinors branching along graphs and formulate the Dirac equation with a suitable boundary condition that can describe the perturbation of graphs with some restrictions. This is joint work with Andriy Haydys and Rafe Mazzeo.
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