Gallego, GuillermoGarcía Prada, Oscar2024-07-182024-07-182024-06-20https://doi.org/10.1016/j.aim.2024.109789https://hdl.handle.net/20.500.14352/106846In this paper we generalize the theory of multiplicative G-Higgs bundles over a curve to pairs (G,θ), where G is a reductive algebraic group and θ is an involution of G. This generalization involves the notion of a multiplicative Higgs bundle taking values in a symmetric variety associated to θ, or in an equivariant embedding of it. We also study how these objects appear as fixed points of involutions of the moduli space of multiplicative G-Higgs bundles, induced by the involution θ.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articlehttps://www.sciencedirect.com/science/article/pii/S0001870824003049open accessMultiplicative Higgs bundleMultiplicative Hitchin fibrationInvolutionSymmetric varietyEquivariant embeddingWonderful compactificationGeometria algebraica1204.02 Variedades Complejas