Geodesic
A note on the tangent bundle and Gauss functor of posets and manifolds
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 113-125
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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. 
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N. Mnëv. A note on the tangent bundle and Gauss functor of posets and manifolds. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIII, Tome 421 (2014), pp. 113-125. http://geodesic.mathdoc.fr/item/ZNSL_2014_421_a8/

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