Originally devised as a rigorous means of counting holes, homology provides a scaffolding for mathematical ideas, allowing for a new way to analyze the shapes within data. At first, topology can seem ...
Abstract. We construct the vortex Floer homology group VHF(M, μ; H) for an aspherical Hamiltonian G-manifold (M, ω, μ) and a class of G-invariant Hamiltonian loops Ht, following a proposal of ...