Learning guide to some areas in low dimensional topology

summer school, Tsinghua University, 2025

During Summer 2025, a summer school on topology was hold in Tsinghua University. The lecturers wrote series of learning guides to various areas in low dimensional topology. We hope this could be useful to students and researchers who hope to enter these areas.

A learning guild to Seiberg-Witten invariants of 4-manifolds by Jianfeng Lin

A learning guild to geometric group theory by Wenyuan Yang

A learning guild to symplectic field theory by Zhengyi Zhou

A learning guild to Higgs bundles and Teichmuller theory by Qiongling Li

A learning guild to quantum invariants and categorification by Yin Tian

A learning guild to symplectormorphism groups by Weiwei Wu