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
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@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
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/