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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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[2] Polyakov A. M., “String representations and hidden symmetrie for gauge fields”, Phis. Lett., 32:2 (1979), 247–250 | DOI | MR

[3] Dotsenko V. S., Nekotorye voprosy kvantovoi teorii polya i teorii fazovykh perekhodov, Dis. $\dots$ kand. fiz.-matem. nauk, ITF im. Landau, 198

[4] Kavalov A. R., Sedrakyan A. G., Sign factor of three-dimensional Ising model the quantum superstring, Preprint EPI-695(10)-84, Yerevan, 1984

[5] Dolbilin N. P., Shtanko M. A., Shtogrin M. I., “Kubicheskie podkompleksy v pravilnykh reshetkakh”, Dokl. AN SSSR, 291:2 (1986), 277–279 | MR

[6] Dolbilin N. P., Sedrakyan A. G., Shtanko M. A., Shtogrin M. I., “Topologiya semeistva parametrizatsii dvumernykh tsiklov, voznikayuschikh v trekhmernoi modeli Izinga”, Dokl. AN SSSR, 295:1 (1987), 19–23 | MR | Zbl

[7] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya, Nauka, M., 1986 | MR

[8] Smale S., “Regular curves on Riemannian manifolds”, Trans. Amer. Soc., 87:2 (1958), 492–512 | DOI | MR | Zbl

[9] Dolbilin N. P., Stanko M. A., Štogrin M. I., Quadrillages and Parametrizations of lattice Cycles, Baku Int. Top. Conf. Abstracts. Part 2, Baku, 1987, 104