Geodesic
An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fibre bundle
Sbornik. Mathematics, Tome 214 (2023) no. 3, pp. 429-443 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present an elementary approach to local combinatorial formulae for the Euler class of a fibre-oriented triangulated spherical fibre bundle. This approach is based on sections averaging technique and very basic knowledge of simplicial (co)homology theory. Our formulae are close relatives of those due to Mnëv. Bibliography: 9 titles.
Keywords: section of a fibre bundle, characteristic class.
Mots-clés : harmonic chain, triangulation 
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G. Yu. Panina. An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fibre bundle. Sbornik. Mathematics, Tome 214 (2023) no. 3, pp. 429-443. http://geodesic.mathdoc.fr/item/SM_2023_214_3_a7/

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