Classification of Hamiltonian $S^1$-Actions on Compact Symplectic Orbifolds with Isolated Cyclic Singular Points in Dimension Four

Leonor Godinho, Universidade de Lisboa, Lisbon, Portugal, Grace T. Mwakyoma-Oliveira, Unaffiliated Scholar, and Daniele Sepe, Universidad Nacional de Colombia sede Medellin, Medellin, Colombia

Chapters Introduction 1. A primer on (symplectic) orbifolds, orbi-bundles and group actions 2. Local normal forms 3. The labeled multigraph of a Hamiltonian $S^1$-space 4. Equivariant operations 5. Classification of Hamiltonian $S^1$-spaces 6. Final remarks