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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 421, Pages 113–125 (Mi znsl5753)  
A note on the tangent bundle and Gauss functor of posets and manifolds

N. Mnëvab

a St. Petersburg Department of Steklov Mathematical Institute, Fontanka 27, 191023 St. Petersburg
b Chebyshev Laboratory, St. Petersburg State University, 14th Line 29b, 199178 St. Petersburg, Russia
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Abstract: We introduce a notion of the tangent bundle of a poset. In the case where the poset is the poset of simplices of a combinatorial manifold, the construction produces the best possible combinatorial model for the geometric compactified tangent bundle.
Key words and phrases: poset, tangent bundle, Gauss map.
Received: 12.12.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 6, Pages 710–717
DOI: https://doi.org/10.1007/s10958-014-1962-4
Bibliographic databases:
Document Type: Article
UDC: 515.145.23+515.164.22+512.56
Language: English
Citation: N. Mnëv, “A note on the tangent bundle and Gauss functor of posets and manifolds”, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Zap. Nauchn. Sem. POMI, 421, POMI, St. Petersburg, 2014, 113–125; J. Math. Sci. (N. Y.), 200:6 (2014), 710–717
Citation in format AMSBIB
\Bibitem{Mne14}
\by N.~Mn\"ev
\paper A note on the tangent bundle and Gauss functor of posets and manifolds
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 421
\pages 113--125
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5753}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 6
\pages 710--717
\crossref{https://doi.org/10.1007/s10958-014-1962-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904395010}
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