Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 169-179
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O. A. Ivanov; N. Yu. Netsvetaev. The intersection form of the result of gluing manifolds with degenerate intersection forms. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part 8, Tome 231 (1995), pp. 169-179. http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a9/
@article{ZNSL_1995_231_a9,
author = {O. A. Ivanov and N. Yu. Netsvetaev},
title = {The intersection form of the result of gluing manifolds with degenerate intersection forms},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {169--179},
year = {1995},
volume = {231},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a9/}
}
TY - JOUR
AU - O. A. Ivanov
AU - N. Yu. Netsvetaev
TI - The intersection form of the result of gluing manifolds with degenerate intersection forms
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1995
SP - 169
EP - 179
VL - 231
UR - http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a9/
LA - ru
ID - ZNSL_1995_231_a9
ER -
%0 Journal Article
%A O. A. Ivanov
%A N. Yu. Netsvetaev
%T The intersection form of the result of gluing manifolds with degenerate intersection forms
%J Zapiski Nauchnykh Seminarov POMI
%D 1995
%P 169-179
%V 231
%U http://geodesic.mathdoc.fr/item/ZNSL_1995_231_a9/
%G ru
%F ZNSL_1995_231_a9
It is proved that the intersection form of the result of gluing together two compact oriented $4k$-dimensional manifolds along their boundaries can be (noncanonically) represented as the direct sum of a split form, whose rank is determined by the images of the inclusions of the free parts of the middle homology groups of the boundaries, and a form which is the result of gluing together nondegenerate parts of the intersection forms of the initial manifolds. Bibl. 6 titles.
