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math.AG2011
On the motives of moduli of chains and Higgs bundles
Oscar García-Prada, Jochen Heinloth, Alexander Schmitt
We take another approach to Hitchin's strategy of computing the cohomology of moduli spaces of Higgs bundles by localization with respect to the circle-action. Our computation is d…
math.AG2004★ 10 cited
Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves
Oscar García-Prada, Daniel Hernández Ruipérez, Fabio Pioli +1
We define a Fourier-Mukai transform for a triple consisting of two holomorphic vector bundles over an elliptic curve and a homomorphism between them. We prove that in some cases th…