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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2005 Volume 1, 021, 7 pp. (Mi sigma21)
This article is cited in 2 papers

Pachner Move $3\to 3$ and Affine Volume-Preserving Geometry in $\mathbb R^3$

Igor G. Korepanov

South Ural State University, 76 Lenin Ave., 454080 Chelyabinsk, Russia

Abstract: Pachner move $3\to 3$ 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.

Keywords: piecewise-linear topology; Pachner move; algebraic relation; three-dimensional affine geometry.

MSC: 57Q99; 57M27; 57N13

Received: October 6, 2005; in final form November 21, 2005; Published online November 24, 2005

Language: English

DOI: 10.3842/SIGMA.2005.021



Bibliographic databases:
ArXiv: math.GT/0510095

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