Geometry of Surfaces by Nigel Hitchin (B3a course 2013) Created 2026-10-13 Updated 2026-11-05
By Nigel Hitchin.
Cited passages: Section 3.2, Theorem 3.2 and its triangulation proof, printed pp. 38-39; Section 3.3, printed pp. 41-43: local coordinates at simple roots, two points at infinity for even polynomial degree, and ramification count.
Primary lecture text: arxiv.org/pdf/1008.0973
Section1 defines the tangent-plus-cotangent bundle, its natural pairing and Courant bracket; section3 explains ordinary complex and symplectic structures as generalized complex structures.