Geodesic
Integrable systems and Special Kähler metrics
Nigel Hitchin1
1University of Oxford, UK
EMS surveys in mathematical sciences, Tome 8 (2021), pp. 163-178

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DOI

We describe the Special Kähler structure on the base of the so-called Hitchin system in terms of the geometry of the space of spectral curves. It yields a simple formula for the Kähler potential. This extends to the case of a singular spectral curve and we show that this defines the Special Kähler structure on certain natural integrable subsystems. Examples include the extreme case where the metric is flat.
DOI : 10.4171/emss/46
Classification : 53-XX, 00-XX
Mots-clés : Integrable system, Higgs bundle, Special Kähler

Nigel Hitchin  1

1 University of Oxford, UK 
Nigel Hitchin. Integrable systems and Special Kähler metrics. EMS surveys in mathematical sciences, Tome 8 (2021), pp. 163-178. doi: 10.4171/emss/46
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     author = {Nigel Hitchin},
     title = {Integrable systems and {Special} {K\"ahler} metrics},
     journal = {EMS surveys in mathematical sciences},
     pages = {163--178},
     year = {2021},
     volume = {8},
     doi = {10.4171/emss/46},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/emss/46/}
}
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