Geodesic
Classification up to cobordism of manifolds with simple action of $\mathbb Z/p$
Matematičeskie zametki, Tome 63 (1998) no. 2, pp. 260-268 
T. E. Panov. Classification up to cobordism of manifolds with simple action of $\mathbb Z/p$. Matematičeskie zametki, Tome 63 (1998) no. 2, pp. 260-268. http://geodesic.mathdoc.fr/item/MZM_1998_63_2_a9/
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     author = {T. E. Panov},
     title = {Classification up to cobordism of manifolds with simple action of $\mathbb Z/p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {260--268},
     year = {1998},
     volume = {63},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_2_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We deal with quasi-complex manifolds with an action of the group $\mathbb Z/p$ such that the set of fixed points of this action has a trivial normal bundle. The set of cobordism classes of these manifolds is described in terms of the coefficients of the formal group of geometric cobordisms and in terms of characteristic numbers. We also establish the relationship between this work and relevant papers containing a solution of this problem in some particular cases.

[1] Konner P., Floid E., Gladkie periodicheskie otobrazheniya, Mir, M., 1969

[2] Novikov S. P., “Metody algebraicheskoi topologii s tochki zreniya teorii kobordizmov”, Izv. AN SSSR. Ser. matem., 31 (1967), 855–951 | MR | Zbl

[3] Bukhshtaber V. M., Novikov S. P., “Formalnye gruppy, stepennye sistemy i operatory Adamsa”, Matem. sb., 84 (126) (1971), 81–118 | MR | Zbl

[4] Kasparov G. G., “Invarianty klassicheskikh linzovykh mnogoobrazii v teorii kobordizmov”, Izv. AN SSSR. Ser. matem., 33 (1969), 735–747 | MR | Zbl

[5] Novikov S. P., “Operatory Adamsa i nepodvizhnye tochki”, Izv. AN SSSR. Ser. matem., 32 (1968), 1245–1263 | MR

[6] Bukhshtaber V. M., “Kharakter Chzhenya–Dolda v teorii kobordizmov, I”, Matem. sb., 83 (125) (1970), 575–595 | MR | Zbl

[7] Stong R., Zametki po teorii kobordizmov, Mir, M., 1973 | Zbl