The cobordism classification of involution on DOLD manifoldP(1,2l) |
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| Authors: | Wu Zhende Liu Zongze Bai Ruipu |
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| Institution: | (1) Department of Mathematics, Hebei Normal University, 050016 Shijazhuang, China;(2) Department of Mathematics, Hebei University, 071002 Baoding, China |
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| Abstract: | Supposing the smooth involution of the DOLD manifoldP(1,2l) satisfies the following condition: the fiberation π:P(1,2l)×
T×(−1)S∞→RP(∞) is totally nonhomologous to zero (cf. 1, p373]), this paper determines the classification of smooth involution on
the DOLD manifoldP(1,2l) totally.
Supported by the Foundation of Tian Yuan and the Natural Science Foundation of Hebei province. |
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| Keywords: | Stiefel-Whitney class Involution on smooth manifold Bordism class Wu formulas |
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