RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki

Mat. Zametki, 2019, Volume 105, Issue 5, Pages 771–791 (Mi mzm11818)

Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring
G. D. Solomadin

References

1. V. M. Buchstaber, T. E. Panov, N. Ray, “Spaces of polytopes and cobordism of quasitoric manifolds”, Mosc. Math. J., 7:2 (2007), 219–242  mathnet  crossref  mathscinet  zmath
2. N. Ray, “On a construction in bordism theory”, Proc. Edinburgh Math. Soc. (2), 29:3 (1986), 413–422  crossref  mathscinet  zmath
3. V. M. Bukhshtaber, N. Rei, “Toricheskie mnogoobraziya i kompleksnye kobordizmy”, UMN, 53:2(320) (1998), 139–140  mathnet  crossref  mathscinet  zmath
4. V. M. Buchstaber, T. E. Panov, Toric Topology, Amer. Math. Soc., Providence, RI, 2015  mathscinet  zmath
5. J. Milnor, “On the Stiefel–Whitney numbers of complex manifolds and of spin manifolds”, Topology, 3:3 (1965), 223–230  crossref  mathscinet  zmath
6. M. Davis, T. Januszkiewicz, “Convex polytopes, Coxeter orbifolds and torus actions”, Duke Math. J., 62:2 (1991), 417–451  mathscinet  zmath
7. A. Wilfong, “Toric polynomial generators of complex cobordism”, Algebr. Geom. Topol., 16:3 (2016), 1473–1491  crossref  mathscinet  zmath
8. G. D. Solomadin, Yu. M. Ustinovskii, “Proektivnye toricheskie polinomialnye obrazuyuschie v koltse kompleksnykh kobordizmov”, Matem. sb., 207:11 (2016), 127–152  mathnet  crossref  mathscinet  zmath
9. S. Ochanine, “Sur les genres multiplicatifs définis par des intégrales elliptiques”, Topology, 26:2 (1987), 143–151  crossref  mathscinet  zmath
10. R. Stong, Zametki po teorii kobordizmov, Mir, M., 1973  mathscinet
11. R. Thom, “Quelques propriétés globales des variétés différentiables”, Comment. Math. Helv., 28 (1954), 17–86  crossref  mathscinet  zmath
12. B. Florian, “Lifting of morphisms to quotient presentations”, Manuscripta Math., 110:1 (2003), 33–44  crossref  mathscinet  zmath
13. M. Imaoka, “Extendibility of negative vector bundles over the complex projective space”, Hiroshima Math. J., 36:1 (2006), 49–60  crossref  mathscinet  zmath
14. Z. Lü, T. Panov, “On toric generators in the unitary and special unitary bordism groups”, Algebr. Geom. Topol., 16:5 (2016), 2865–2893  crossref  mathscinet  zmath
15. I. R. Shafarevich, Basic Algebraic Geometry. 2. Schemes and Complex Manifolds, Springer-Verlag, Berlin, 2013  mathscinet  zmath
16. N. J. Fine, “Binomial coefficients modulo a prime”, Amer. Math. Monthly, 54 (1947), 589–592  crossref  mathscinet  zmath
17. N. J. Hitchin, “Harmonic spinors”, Advances in Math., 14 (1974), 1–55  crossref  mathscinet  zmath
18. A. Granville, “Arithmetic properties of binomial coefficients. I. Binomial coefficients modulo prime powers”, Organic Mathematics (Burnaby, BC, 1995), CMS Conf. Proc., 20, Amer. Math. Soc., Providence, RI, 1997, 253–276  mathscinet  zmath


© Steklov Math. Inst. of RAS, 2026