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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 021, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.021 (Mi sigma21) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

Igor G. Korepanov

South Ural State University, 76 Lenin Ave., 454080 Chelyabinsk, Russia
Full-text PDF (175 kB) Citations (2)
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DOI: https://doi.org/10.3842/SIGMA.2005.021
Abstract: 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.
Keywords: piecewise-linear topology; Pachner move; algebraic relation; three-dimensional affine geometry.
Received: October 6, 2005; in final form November 21, 2005; Published online November 24, 2005
Bibliographic databases:
Document Type: Article
MSC: 57Q99; 57M27; 57N13
Language: English
Citation: Igor G. Korepanov, “Pachner Move 3→3 and Affine Volume-Preserving Geometry in R3”, SIGMA, 1 (2005), 021, 7 pp.
Citation in format AMSBIB
\Bibitem{Kor05}
\by Igor G. Korepanov
\paper Pachner Move $3\to 3$ and Affine Volume-Preserving Geometry in~$\mathbb R^3$
\jour SIGMA
\yr 2005
\vol 1
\papernumber 021
\totalpages 7
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\crossref{https://doi.org/10.3842/SIGMA.2005.021}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169844}
\zmath{https://zbmath.org/?q=an:1101.57011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600021}
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    • This publication is cited in the following 2 articles:
    1. Kashaev R., Luo F., Vartanov G., “A TQFT of Turaev–Viro Type on Shaped Triangulations”, Ann. Henri Poincare, 17:5 (2016), 1109–1143  crossref  mathscinet  zmath  isi  elib  scopus
    2. I. G. Korepanov, “Geometric torsions and an Atiyah-style topological field theory”, Theoret. and Math. Phys., 158:3 (2009), 344–354  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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    Abstract page:220
    Full-text PDF :59
    References:45
     
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