Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³
Pachner move 3 → 3 deals with triangulations of four-dimensional manifolds. We present an algebraic relation corresponding in a natural way to this move and based, a bit paradoxically, on three-dimensional geometry.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209339 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ / I.G. Korepanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 14 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751512754651136 |
|---|---|
| author | Korepanov, I.G. |
| author_facet | Korepanov, I.G. |
| citation_txt | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ / I.G. Korepanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Pachner move 3 → 3 deals with triangulations of four-dimensional manifolds. We present an algebraic relation corresponding in a natural way to this move and based, a bit paradoxically, on three-dimensional geometry.
|
| first_indexed | 2025-12-07T21:12:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209339 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:12:00Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Korepanov, I.G. 2025-11-19T12:22:15Z 2005 Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ / I.G. Korepanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 14 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 57Q99; 57M27; 57N13 https://nasplib.isofts.kiev.ua/handle/123456789/209339 https://doi.org/10.3842/SIGMA.2005.021 Pachner move 3 → 3 deals with triangulations of four-dimensional manifolds. We present an algebraic relation corresponding in a natural way to this move and based, a bit paradoxically, on three-dimensional geometry. I would like to use this occasion to thank the organizers of the conference “Symmetry in Nonlinear Mathematical Physics” in Kiev in June 2005, for their excellent conference and for inviting me to write this paper. My special thanks to S. Podobedov, Member of the Parliament of Ukraine, for his warm hospitality during my stay in Kyiv. This paper was written with partial financial support from the Russian Foundation for Basic Research, Grant no. 04-01-96010. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ Article published earlier |
| spellingShingle | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ Korepanov, I.G. |
| title | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ |
| title_full | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ |
| title_fullStr | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ |
| title_full_unstemmed | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ |
| title_short | Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³ |
| title_sort | pachner move 3 → 3 and affine volume-preserving geometry in r³ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209339 |
| work_keys_str_mv | AT korepanovig pachnermove33andaffinevolumepreservinggeometryinr3 |