Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space
We survey some recent developments in the asymptotic geometry of the Hitchin moduli space, starting with an introduction to the Hitchin moduli space and hyperkähler geometry.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2019 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210057 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space / L. Fredrickson // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699064705941504 |
|---|---|
| author | Fredrickson, L. |
| author_facet | Fredrickson, L. |
| citation_txt | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space / L. Fredrickson // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We survey some recent developments in the asymptotic geometry of the Hitchin moduli space, starting with an introduction to the Hitchin moduli space and hyperkähler geometry.
|
| first_indexed | 2025-12-07T21:24:14Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210057 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:14Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fredrickson, L. 2025-12-02T09:30:52Z 2019 Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space / L. Fredrickson // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 38 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53C07; 53C26 arXiv: 1809.05735 https://nasplib.isofts.kiev.ua/handle/123456789/210057 https://doi.org/10.3842/SIGMA.2019.018 We survey some recent developments in the asymptotic geometry of the Hitchin moduli space, starting with an introduction to the Hitchin moduli space and hyperkähler geometry. These notes are based on a 3-hour mini-course aimed at early graduate students, given on November 11-12, 2017, at UIC. This course was part of the workshop "Workshop on the geometry and physics of Higgs bundles" and the following conference "Current Trends for Spectral Data III" organized by Laura Schaposnik. (The notes have been updated to include a survey of results through October 2018.) My trip for the mini-course was funded by: the UIC NSF RTG grant DMS-1246844; L.P. Schaposnik’s UIC Start-up fund; and NSF DMS 1107452, 1107263, 1107367 RNMS: GEometric structures And Representation varieties (the GEAR Network). I thank Laura Schaposnik for organizing the events and for her encouragement to contribute these notes. I thank Rafe Mazzeo for many discussions about the asymptotic geometry of the Hitchin moduli space, and Rafe Mazzeo, Steve Rayan, and the anonymous referees for their useful suggestions and comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space Article published earlier |
| spellingShingle | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space Fredrickson, L. |
| title | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space |
| title_full | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space |
| title_fullStr | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space |
| title_full_unstemmed | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space |
| title_short | Perspectives on the Asymptotic Geometry of the Hitchin Moduli Space |
| title_sort | perspectives on the asymptotic geometry of the hitchin moduli space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210057 |
| work_keys_str_mv | AT fredricksonl perspectivesontheasymptoticgeometryofthehitchinmodulispace |