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**Mazzeo, Rafe; Swoboda, Jan; Weiss, Hartmut and Witt, Frederik (2019): Asymptotic Geometry of the Hitchin Metric. In: Communications in Mathematical Physics, Vol. 367, No. 1: pp. 151-191**

**Full text not available from 'Open Access LMU'.**

## Abstract

We study the asymptotics of the natural L-2 metric on the Hitchin moduli space with group G=SU(2). Our main result, which addresses a detailed conjectural picture made by Gaiotto etal. (Adv Math 234:239-403, 2013), is that on the regular part of the Hitchin system, this metric is well-approximated by the semiflat metric from Gaiotto et al. (2013). We prove that the asymptotic rate of convergence for gauged tangent vectors to the moduli space has a precise polynomial expansion, and hence that the difference between the two sets of metric coefficients in a certain natural coordinate system also has polynomial decay. New work by Dumas-Neitzke and later Fredrickson shows that the convergence is actually exponential.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 0010-3616 |

Language: | English |

Item ID: | 82385 |

Date Deposited: | 15. Dec 2021, 15:01 |

Last Modified: | 15. Dec 2021, 15:01 |