Talk page

Title:
Finite Energy Instantons on $\Sigma \times \mathbb{C}$

Speaker:
Max Lipyanskiy

Abstract:
We will outline a proof of a conjecture by Jardim-Biquard on the asymptotic decay of instantons on $\Sigma \times \mathbb{C}$. In the case $\Sigma$ is a torus, combined with the results of Jardim-Biquard, this establishes a correspondence between finite energy instantons and (stable) holomorphic bundles on $\Sigma \times P^1$. Our techniques are based on the Gromov-Uhlenbeck compactness estimates developed for the Atiyah-Floer Conjecture.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=718

Workshop:
Simons- Program: Low Dimensional Topology (Spring 2013)