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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{SM_2023_214_3_a7,
     author = {G. Yu. Panina},
     title = {An elementary approach to local combinatorial formulae for the {Euler} class of {a~PL} spherical fibre bundle},
     journal = {Sbornik. Mathematics},
     pages = {429--443},
     publisher = {mathdoc},
     volume = {214},
     number = {3},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2023_214_3_a7/}
}
TY  - JOUR
AU  - G. Yu. Panina
TI  - An elementary approach to local combinatorial formulae for the Euler class of a~PL spherical fibre bundle
JO  - Sbornik. Mathematics
PY  - 2023
SP  - 429
EP  - 443
VL  - 214
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2023_214_3_a7/
LA  - en
ID  - SM_2023_214_3_a7
ER  - 
%0 Journal Article
%A G. Yu. Panina
%T An elementary approach to local combinatorial formulae for the Euler class of a~PL spherical fibre bundle
%J Sbornik. Mathematics
%D 2023
%P 429-443
%V 214
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2023_214_3_a7/
%G en
%F SM_2023_214_3_a7
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/