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NCTS Differential Geometry Seminar
 
16:00 - 17:00, October 29, 2020 (Thursday)
Lecture Hall 5F, Cosmology Building, NTU
(臺灣大學宇宙學大樓 五樓演講廳)
On the Index Theorem for $\mathbb{Z}/2$-graphs
Ryosuke Takahashi (National Cheng Kung University)

Abstract:

In this talk, I will introduce the concept of -graphs which were classified zero loci of -harmonic spinors defined on 3-dimensional, closed, oriented manifolds. We will discuss the structure of the moduli space of -graphs. We will also discuss the difference between -graphs and -embeddings, how the index theorem changes and the main difficulty to establish the index theorem for -graphs. This is an ongoing project with Andriy Haydys.


 

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