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The intersection form of the result of gluing manifolds with degenerate intersection forms. / Ivanov, O. A.; Netsvetaev, N. Yu.

In: Journal of Mathematical Sciences, Vol. 91, No. 6, 01.01.1998, p. 3440-3447.

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@article{6f124dd55f5a461db51f1db6817e682f,
title = "The intersection form of the result of gluing manifolds with degenerate intersection forms",
abstract = "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.",
author = "Ivanov, {O. A.} and Netsvetaev, {N. Yu}",
year = "1998",
month = jan,
day = "1",
doi = "10.1007/BF02434920",
language = "English",
volume = "91",
pages = "3440--3447",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - The intersection form of the result of gluing manifolds with degenerate intersection forms

AU - Ivanov, O. A.

AU - Netsvetaev, N. Yu

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=54749088358&partnerID=8YFLogxK

U2 - 10.1007/BF02434920

DO - 10.1007/BF02434920

M3 - Article

AN - SCOPUS:54749088358

VL - 91

SP - 3440

EP - 3447

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 36967684