Geodesic
The problem of parametrization of cycles modulo~2 in a~three-dimensional cubic lattice
Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 359-383

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Two-dimensional cycles modulo 2 are studied in a three-dimensional standard cubic lattice. A topological formula is derived for the sign factor in parametrizations of such cycles. Bibliography: 9 titles. 
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     title = {The problem of parametrization of cycles modulo~2 in a~three-dimensional cubic lattice},
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N. P. Dolbilin; M. A. Shtan'ko; M. I. Shtogrin. The problem of parametrization of cycles modulo~2 in a~three-dimensional cubic lattice. Izvestiya. Mathematics , Tome 32 (1989) no. 2, pp. 359-383. http://geodesic.mathdoc.fr/item/IM2_1989_32_2_a5/