Prefer a chat interface with context about you and your work?
On the First Pontryagin Form of a Surface
The first Pontryagin form of a compact orientable surface M determines a canonical pre-symplectic structure on the space of Riemannian metrics on M .The first equivariant Pontryagin form determines a canonical moment map for it.We study the corresponding symplectic reduction and we state (Theorem 6) that the symplectic quotient is …