Shearing deformations of Hitchin representations and the Atiyah-Bott-Goldman symplectic form

Hatice Zeybek

doi:10.1007/s10711-020-00588-6

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arXiv · 1905.11118

Shearing deformations of Hitchin representations and the Atiyah-Bott-Goldman symplectic form

Hatice Zeybek

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Abstract

The Hitchin component Hit_n(S) of a closed surface S is a preferred component of the character variety X_PSL_n(R)(S) consisting of homomorphisms from the fundamental group pi_1(S) to the Lie group PSL_n(R)(S), whose elements enjoy remarkable geometric and dynamical properties. We consider a certain type of deformations of the elements of Hit_n(S), called shearing deformations, and compute their pairing for the Atiyah-Bott-Goldman symplectic form of the character variety.

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BibTeX RIS

Hatice Zeybek. 2019-05-27. Shearing deformations of Hitchin representations and the Atiyah-Bott-Goldman symplectic form. https://doi.org/10.1007/s10711-020-00588-6

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