Harmonic Bundles and Toda Lattices With Opposite Sign II
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説明
We study a certain type of wild harmonic bundles in relation with a Toda equation. We explain how to obtain a classification of the real valued solutions of the Toda equation in terms of their parabolic weights, from the viewpoint of the Kobayashi-Hitchin correspondence. Then, we study the associated integrable variation of twistor structure. In particular, we give a criterion for the existence of an integral structure. It follows from two results. One is the explicit computation of the Stokes factors of a certain meromorphic flat bundle. The other is an explicit description of the associated meromorphic flat bundle. We use the opposite filtration of the limit mixed twistor structure with an induced torus action.
収録刊行物
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- Communications in Mathematical Physics
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Communications in Mathematical Physics 328 (3), 1159-1198, 2014-03-18
Springer Science and Business Media LLC
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キーワード
- Mathematics - Differential Geometry
- Mathematics - Algebraic Geometry
- Differential Geometry (math.DG)
- 53C07, 14H60, 34M40, 32G20
- Mathematics - Classical Analysis and ODEs
- Classical Analysis and ODEs (math.CA)
- FOS: Mathematics
- FOS: Physical sciences
- Mathematical Physics (math-ph)
- Algebraic Geometry (math.AG)
- Mathematical Physics
詳細情報 詳細情報について
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- CRID
- 1360567181131766912
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- ISSN
- 14320916
- 00103616
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- 資料種別
- journal article
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- データソース種別
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- Crossref
- KAKEN
- OpenAIRE