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Sinica-NCTS Geometry Seminar
 
11:00 - 12:00, October 1, 2018 (Monday)
Room 617, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 617室)
Energy Bound and First Pontryagin Number for Kapustin-Witten Solutions
Ryosuke Takahashi (National Cheng Kung University)

Abstract:

We will briefly introduce some background works on Kapustin-Witten equation and Witten's conjecture on the relation of its moduli space and Jones polynomials. We will prove Yang-Mills energy is bounded for the moduli space of Kapustin-Witten solutions on with empty knot:
 
for any . We will also discuss the formula and the boundedness for the first Pontryagin number for the moduli space of Kapustin-Witten solutions.


 

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