Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 3-29
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V. A. Vassiliev. Stable cohomology of complements to the discriminants of deformations of singularities of smooth functions. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 33 (1988), pp. 3-29. http://geodesic.mathdoc.fr/item/INTD_1988_33_a0/
@article{INTD_1988_33_a0,
author = {V. A. Vassiliev},
title = {Stable cohomology of complements to the discriminants of deformations of singularities of smooth functions},
journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
pages = {3--29},
year = {1988},
volume = {33},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTD_1988_33_a0/}
}
TY - JOUR
AU - V. A. Vassiliev
TI - Stable cohomology of complements to the discriminants of deformations of singularities of smooth functions
JO - Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
PY - 1988
SP - 3
EP - 29
VL - 33
UR - http://geodesic.mathdoc.fr/item/INTD_1988_33_a0/
LA - ru
ID - INTD_1988_33_a0
ER -
%0 Journal Article
%A V. A. Vassiliev
%T Stable cohomology of complements to the discriminants of deformations of singularities of smooth functions
%J Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
%D 1988
%P 3-29
%V 33
%U http://geodesic.mathdoc.fr/item/INTD_1988_33_a0/
%G ru
%F INTD_1988_33_a0
Complements to discriminants of singularities of smooth functions are far generalizations of the classifying spaces of Artin and Brieskorn braid groups. A group of stable cohomologies (i.e., cohomologies preserved under adjacency of singularities) is described for these spaces. A relationship between these cohomologies and Gauss–Manin connectivity of singularities is indicated. A cellular realization of cohomologies of symmetric groups with coefficients in $Z_2$ is described.
