Room 3176, Department of Mathematics, NCKU
(成功大學數學系 3176室)
Energy Bound and First Pontryagin Number for Kapustin-Witten Solutions
Ryosuke Takahashi (Kyushu 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.