I. G. Korepanov, “Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.”, TMF, 131:3 (2002), 377–388; Theoret. and Math. Phys., 131:3 (2002), 765

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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 3, Pages 377–388
DOI: https://doi.org/10.4213/tmf335 (Mi tmf335)

This article is cited in 15 scientific papers (total in 15 papers)

Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.

I. G. Korepanov

South Ural State University

Full-text PDF (239 kB) Citations (15)

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DOI: https://doi.org/10.4213/tmf335

Abstract: We construct invariants of four-dimensional piecewise linear manifolds, represented as simplicial complexes, with respect to moves that transform a cluster of three 4-simplices having a common two-dimensional face to a different cluster of the same type and having the same boundary. Our construction is based on using Euclidean geometric quantities.

Received: 21.12.2001

English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 3, Pages 765–774
DOI: https://doi.org/10.1023/A:1015971322591

Bibliographic databases:

Language: Russian

Citation: I. G. Korepanov, “Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.”, TMF, 131:3 (2002), 377–388; Theoret. and Math. Phys., 131:3 (2002), 765–774

Citation in format AMSBIB

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\by I.~G.~Korepanov

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\pages 377--388

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\zmath{https://zbmath.org/?q=an:1042.57011}

\transl

\jour Theoret. and Math. Phys.

\yr 2002

\vol 131

\issue 3

\pages 765--774

\crossref{https://doi.org/10.1023/A:1015971322591}

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Linking options:

https://www.mathnet.ru/eng/tmf335

https://doi.org/10.4213/tmf335

https://www.mathnet.ru/eng/tmf/v131/i3/p377

Cycle of papers

Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.
I. G. Korepanov
TMF, 2002, 131:3, 377–388
Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: II. An Algebraic Complex and Moves $2\leftrightarrow 4$
I. G. Korepanov
TMF, 2002, 133:1, 24–35
Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: III. Moves $1\leftrightarrow5$ and Related Structures
I. G. Korepanov
TMF, 2003, 135:2, 179–195

This publication is cited in the following 15 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	354
Full-text PDF :	195
References:	52
First page:	1

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