The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations
In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase spaces of isomonodromic deformation systems). More...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209846 |
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| Zitieren: | The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations / A. Komyo // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 22 назв. — англ. |
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Komyo, A. 2025-11-27T14:50:47Z 2018 The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations / A. Komyo // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 14D20; 34M56 arXiv: 1710.03977 https://nasplib.isofts.kiev.ua/handle/123456789/209846 https://doi.org/10.3842/SIGMA.2018.111 In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase spaces of isomonodromic deformation systems). Moreover, we see that the moduli spaces of parabolic connections with a quadratic differential are equipped with structures of twisted cotangent bundles. The author is supported by Grant-in-Aid for JSPS Research Fellows Number 18J00245. He is grateful to the anonymous referees’ suggestions, which helped to improve the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations |
| spellingShingle |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations Komyo, A. |
| title_short |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations |
| title_full |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations |
| title_fullStr |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations |
| title_full_unstemmed |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations |
| title_sort |
moduli spaces of parabolic connections with a quadratic differential and isomonodromic deformations |
| author |
Komyo, A. |
| author_facet |
Komyo, A. |
| publishDate |
2018 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper, we study the moduli spaces of parabolic connections with a quadratic differential. We endow these moduli spaces with symplectic structures by using the fundamental 2-forms on the moduli spaces of parabolic connections (which are phase spaces of isomonodromic deformation systems). Moreover, we see that the moduli spaces of parabolic connections with a quadratic differential are equipped with structures of twisted cotangent bundles.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209846 |
| citation_txt |
The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations / A. Komyo // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 22 назв. — англ. |
| work_keys_str_mv |
AT komyoa themodulispacesofparabolicconnectionswithaquadraticdifferentialandisomonodromicdeformations AT komyoa modulispacesofparabolicconnectionswithaquadraticdifferentialandisomonodromicdeformations |
| first_indexed |
2025-12-07T13:51:07Z |
| last_indexed |
2025-12-07T13:51:07Z |
| _version_ |
1850885999831285760 |