Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3
Pachner move 3 o 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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2005-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2005/Paper021/ |
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doaj-fcbfd65f180845eabe00cc9b7302df252020-11-24T23:30:07ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592005-11-011021Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3Igor G. KorepanovPachner move 3 o 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. http://www.emis.de/journals/SIGMA/2005/Paper021/piecewise-linear topologyPachner movealgebraic relationthree-dimensional affine geometry |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Igor G. Korepanov |
| spellingShingle |
Igor G. Korepanov Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 Symmetry, Integrability and Geometry: Methods and Applications piecewise-linear topology Pachner move algebraic relation three-dimensional affine geometry |
| author_facet |
Igor G. Korepanov |
| author_sort |
Igor G. Korepanov |
| title |
Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 |
| title_short |
Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 |
| title_full |
Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 |
| title_fullStr |
Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 |
| title_full_unstemmed |
Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3 |
| title_sort |
pachner move 3 o 3 and affine volume-preserving geometry in r^3 |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2005-11-01 |
| description |
Pachner move 3 o 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. |
| topic |
piecewise-linear topology Pachner move algebraic relation three-dimensional affine geometry |
| url |
http://www.emis.de/journals/SIGMA/2005/Paper021/ |
| work_keys_str_mv |
AT igorgkorepanov pachnermove3o3andaffinevolumepreservinggeometryinr3 |
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1725542773887598592 |