2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62303In the paper we describe obstructions for the existence of symplectic and Hamiltonian symplectic circle actions on closed compact manifolds in terms of Hirzebruch genera and relations between differential and homotopic invariants of such manifolds.3 pagesAlgebraic TopologyAlgebraic GeometryGeometric TopologySymplectic GeometryHirzebruch genera of manifolds equipped with a Hamiltonian circle actiontext