Izvestiya. Mathematics, Tome 5 (1971) no. 6, pp. 1365-1385
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N. V. Panov. Characteristic numbers in $U$-theory. Izvestiya. Mathematics, Tome 5 (1971) no. 6, pp. 1365-1385. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a8/
@article{IM2_1971_5_6_a8,
author = {N. V. Panov},
title = {Characteristic numbers in $U$-theory},
journal = {Izvestiya. Mathematics},
pages = {1365--1385},
year = {1971},
volume = {5},
number = {6},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a8/}
}
TY - JOUR
AU - N. V. Panov
TI - Characteristic numbers in $U$-theory
JO - Izvestiya. Mathematics
PY - 1971
SP - 1365
EP - 1385
VL - 5
IS - 6
UR - http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a8/
LA - en
ID - IM2_1971_5_6_a8
ER -
%0 Journal Article
%A N. V. Panov
%T Characteristic numbers in $U$-theory
%J Izvestiya. Mathematics
%D 1971
%P 1365-1385
%V 5
%N 6
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a8/
%G en
%F IM2_1971_5_6_a8
We compute the subgroup of $\Omega_*^U\otimes Q$ consisting of all elements with integral $U$-numbers. Using these results, we obtain a new computation of the group $\mathrm{Ext}^1_{A^U}(\Omega_*^U,\Omega_*^U)$ and a complete answer to the question of Chern numbers of $(U,\mathrm{fr})$-manifolds.