کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10735204 1044415 2012 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An interpretation of some Hitchin Hamiltonians in terms of isomonodromic deformation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
An interpretation of some Hitchin Hamiltonians in terms of isomonodromic deformation
چکیده انگلیسی
This paper deals with moduli spaces of framed principal bundles with connections with irregular singularities over a compact Riemann surface. These spaces have been constructed by Boalch by means of an infinite-dimensional symplectic reduction. It is proved that the symplectic structure induced from the Atiyah-Bott form agrees with the one given in terms of hypercohomology. The main results of this paper adapt work of Krichever and of Hurtubise to give an interpretation of some Hitchin Hamiltonians as yielding Hamiltonian vector fields on moduli spaces of irregular connections that arise from differences of isomonodromic flows defined in two different ways. This relies on a realization of open sets in the moduli space of bundles as arising via Hecke modification of a fixed bundle.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 62, Issue 6, June 2012, Pages 1397-1413
نویسندگان
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