On the algebraic independence of Hamiltonian characteristic classes

TL;DR

This paper proves that Hamiltonian characteristic classes derived from fiber integrals are algebraically independent for generic coadjoint orbits, advancing understanding in symplectic geometry and characteristic class theory.

Contribution

It establishes the algebraic independence of Hamiltonian characteristic classes for generic coadjoint orbits, a novel result in the field.

Findings

Hamiltonian characteristic classes are algebraically independent.

The result applies to generic coadjoint orbits.

Advances understanding of characteristic classes in symplectic geometry.

Abstract

We prove that Hamiltonian characteristic classes defined as fibre integrals of powers of the coupling class are algebraically independent for generic coadjoint orbits.