Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³

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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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2005
Main Author: Korepanov, I.G.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209339
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-209339
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³
spellingShingle Pachner Move 3 → 3 and Affine Volume-Preserving Geometry in R³
Korepanov, I.G.
title_short 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_sort pachner move 3 → 3 and affine volume-preserving geometry in r³
author Korepanov, I.G.
author_facet Korepanov, I.G.
publishDate 2005
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/209339
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.
work_keys_str_mv AT korepanovig pachnermove33andaffinevolumepreservinggeometryinr3
first_indexed 2025-12-07T21:12:00Z
last_indexed 2025-12-07T21:12:00Z
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