Integrability, Quantization and Moduli Spaces of Curves
This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable algebraic curves and, in particular, cohomological field theories, Hodge classes a...
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Дата: | 2017 |
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Формат: | Стаття |
Мова: | English |
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Інститут математики НАН України
2017
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Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148729 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Integrability, Quantization and Moduli Spaces of Curves / P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 37 назв. — англ. |
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irk-123456789-1487292019-02-19T01:28:13Z Integrability, Quantization and Moduli Spaces of Curves Rossi, P. This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable algebraic curves and, in particular, cohomological field theories, Hodge classes and double ramification cycles. This methods are alternative to the traditional Witten-Kontsevich framework and its generalizations by Dubrovin and Zhang and, among other advantages, have the merit of encompassing quantum integrable systems. Most of this material originates from an ongoing collaboration with A. Buryak, B. Dubrovin and J. Guéré. 2017 Article Integrability, Quantization and Moduli Spaces of Curves / P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 37 назв. — англ. DOI:10.3842/SIGMA.2017.060 1815-0659 2010 Mathematics Subject Classification: 14H10; 14H70; 37K10 http://dspace.nbuv.gov.ua/handle/123456789/148729 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
description |
This paper has the purpose of presenting in an organic way a new approach to integrable (1+1)-dimensional field systems and their systematic quantization emerging from intersection theory of the moduli space of stable algebraic curves and, in particular, cohomological field theories, Hodge classes and double ramification cycles. This methods are alternative to the traditional Witten-Kontsevich framework and its generalizations by Dubrovin and Zhang and, among other advantages, have the merit of encompassing quantum integrable systems. Most of this material originates from an ongoing collaboration with A. Buryak, B. Dubrovin and J. Guéré. |
format |
Article |
author |
Rossi, P. |
spellingShingle |
Rossi, P. Integrability, Quantization and Moduli Spaces of Curves Symmetry, Integrability and Geometry: Methods and Applications |
author_facet |
Rossi, P. |
author_sort |
Rossi, P. |
title |
Integrability, Quantization and Moduli Spaces of Curves |
title_short |
Integrability, Quantization and Moduli Spaces of Curves |
title_full |
Integrability, Quantization and Moduli Spaces of Curves |
title_fullStr |
Integrability, Quantization and Moduli Spaces of Curves |
title_full_unstemmed |
Integrability, Quantization and Moduli Spaces of Curves |
title_sort |
integrability, quantization and moduli spaces of curves |
publisher |
Інститут математики НАН України |
publishDate |
2017 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/148729 |
citation_txt |
Integrability, Quantization and Moduli Spaces of Curves / P. Rossi // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 37 назв. — англ. |
series |
Symmetry, Integrability and Geometry: Methods and Applications |
work_keys_str_mv |
AT rossip integrabilityquantizationandmodulispacesofcurves |
first_indexed |
2023-05-20T17:31:12Z |
last_indexed |
2023-05-20T17:31:12Z |
_version_ |
1796153474261450752 |