Bordism groups of dihedral groups

Kamata, Masayoshi; Minami, Haruo

doi:10.2969/jmsj/02520334

Cited by 8 publications

(4 citation statements)

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“…Put m = par, Now we prove part (3) by induction on /' (0 < / < re). It is easily derived from the reduced bordism spectral sequence ( [2], [7]) that the order of ÍL im), il is 772 as asserted. By the naturality of the cobordism Chern classes, it follows from 7.1 that i*cliÇq) = cli\ymq\m) = [m\Ficxiym)).…”

Section: N>i>0mentioning

confidence: 99%

“…Proposition 6.7 (cf. [2], [3], [5], [6], [7]). Let p > 2, r > 1, a > 1 be integers such that p is prime and ir, p) = 1.…”

Section: N>i>0mentioning

confidence: 99%

“…The main object of the present paper is to apply Komiya simple proof of the structure theorem for Q*(Z ) [2], UÁZ ), U*(Z ) ([3], [5],Í6] [7]) and K (Ln(m)) [8]. These results are applied to the nonexistence problem for equivariant maps.…”

mentioning

confidence: 99%

“…We combine the technique of §2 with Kamata's idea in [7] of applying Miscenko series to U^Lnim)). We also remark that the multiplicative structures of QJ,Z, ) ik > 3, odd)…”

mentioning

confidence: 99%

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Oriented and weakly complex bordism algebra of free periodic maps

Shibata¹

1973

Trans. Amer. Math. Soc.

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Free cyclic actions on a closed oriented (weakly almost complex, respectively) manifold which preserve the orientation (weakly complex structure) are considered from the viewpoint of equivariant bordism theory. The author gives an explicit presentation of the oriented bordism module structure and multiplicative structure of all orientation preserving (and reversing) free involutions. The odd period and weakly complex cases are also determined with the aid of the notion of formal group laws. These results are applied to a nonexistence problem for certain equivariant maps.

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Section: N>i>0mentioning

confidence: 99%

“…Proposition 6.7 (cf. [2], [3], [5], [6], [7]). Let p > 2, r > 1, a > 1 be integers such that p is prime and ir, p) = 1.…”

Section: N>i>0mentioning

confidence: 99%

mentioning

confidence: 99%

“…We combine the technique of §2 with Kamata's idea in [7] of applying Miscenko series to U^Lnim)). We also remark that the multiplicative structures of QJ,Z, ) ik > 3, odd)…”

mentioning

confidence: 99%

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