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: | Englisch |
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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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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632472375721984 |
|---|---|
| author | Komyo, A. |
| author_facet | Komyo, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T13:51:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209846 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:51:07Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Moduli Spaces of Parabolic Connections with a Quadratic Differential and Isomonodromic Deformations Komyo, A. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209846 |
| work_keys_str_mv | AT komyoa themodulispacesofparabolicconnectionswithaquadraticdifferentialandisomonodromicdeformations AT komyoa modulispacesofparabolicconnectionswithaquadraticdifferentialandisomonodromicdeformations |