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• W2785409852 abstract "We study the deformations of harmonic maps $f$, twisted by a representation. After constructing a universal twisted harmonic map, we give a construction of every first order deformation of $f$ in terms of Hodge theory; we apply this result to the moduli space of the reductive representations of a Kahler group, to prove that critical points of the energy function $E$ coincide with the monodromy representations of complex variations of Hodge structure. Then, we analyze second order deformations of $f$ and give a method for constructing them. Applying these results to the energy functional as we did above, we prove (for every finitely presented group) that the energy functional is strictly pluri sub-harmonic on the moduli space of representations. Assuming again that the group is Kahler, we study the eigenvalues of the Hessian of $E$ at critical points." @default.
• W2785409852 created "2018-02-23" @default.
• W2785409852 creator A5075479966 @default.
• W2785409852 date "2013-11-25" @default.
• W2785409852 modified "2023-09-23" @default.
• W2785409852 title "Deformations of twisted harmonic maps" @default.
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• W2785409852 hasPublicationYear "2013" @default.
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