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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 507, Pages 35–58
(Mi znsl7160)
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This article is cited in 1 scientific paper (total in 1 paper)
A note on a local combinatorial formula for the Euler class of a PL spherical fiber bundle
N. E. Mnëvab a St.Petersburg Department of Steklov Institute of Mathematics, St.Petersburg, Russia
b Chebyshev Laboratory,
St.Petersburg State University,
St.Petersburg, Russia
Abstract:
We present a local combinatorial formula for the Euler class of an $n$-dimensional PL spherical fiber bundle as a rational number $e_{CH}$ associated to a chain of $n+1$ abstract subdivisions of abstract $n$-spherical PL cell complexes. The number $e_{CH}$ is a combinatorial (or matrix) Hodge-theoretic twisting cochain in Guy Hirsch's homology model of the bundle associated with the PL combinatorics of the bundle.
Key words and phrases:
combinatorics of bundles, Euler class.
Received: 13.09.2021
Citation:
N. E. Mnëv, “A note on a local combinatorial formula for the Euler class of a PL spherical fiber bundle”, Representation theory, dynamical systems, combinatorial methods. Part XXXIII, Zap. Nauchn. Sem. POMI, 507, POMI, St. Petersburg, 2021, 35–58
Linking options:
https://www.mathnet.ru/eng/znsl7160 https://www.mathnet.ru/eng/znsl/v507/p35
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Abstract page: | 121 | Full-text PDF : | 36 | References: | 12 |
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