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• W3100389078 abstract "Moduli spaces of semi-stable real and quaternionic vector bundles of a fixed topological type admit a presentation as Lagrangian quotients and can be embedded into the symplectic quotient corresponding to the moduli variety of semi-stable holomorphic vector bundles of fixed rank and degree on a smooth complex projective curve. From the algebraic point of view, these Lagrangian quotients are connected sets of real points inside a complex moduli variety endowed with a real structure; when the rank and the degree are coprime, they are in fact the connected components of the fixed-point set of the real structure. This presentation as a quotient enables us to generalize the methods of Atiyah and Bott to a setting with involutions and compute the mod 2 Poincaré polynomials of these moduli spaces in the coprime case. We also compute the mod 2 Poincaré series of moduli stacks of all real and quaternionic vector bundles of a fixed topological type. As an application of our computations, we give new examples of maximal real algebraic varieties." @default.
• W3100389078 created "2020-11-23" @default.
• W3100389078 creator A5050554374 @default.
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• W3100389078 date "2013-03-01" @default.
• W3100389078 modified "2023-09-23" @default.
• W3100389078 title "The Yang-Mills equations over Klein surfaces" @default.
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• W3100389078 doi "https://doi.org/10.1112/jtopol/jtt001" @default.
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