Geodesic
Euler structures, nonsingular vector fields, and torsions of Reidemeister type
Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 627-662

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Combinatorial analogues of nonsingular vector fields on manifolds, so-called Euler structures, are introduced and studied. A refinement of Reidemeister's construction of torsion is proposed that gives new invariants of nonsingular vector fields and Euler structures. Bibliography: 12 titles. 
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     author = {V. G. Turaev},
     title = {Euler structures, nonsingular vector fields, and torsions of {Reidemeister} type},
     journal = {Izvestiya. Mathematics },
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V. G. Turaev. Euler structures, nonsingular vector fields, and torsions of Reidemeister type. Izvestiya. Mathematics , Tome 34 (1990) no. 3, pp. 627-662. http://geodesic.mathdoc.fr/item/IM2_1990_34_3_a5/