Standard

Quadratic forms of closed manifolds. / Ivanov, O. A.

In: Journal of Soviet Mathematics, Vol. 26, No. 1, 01.07.1984, p. 1664-1667.

Research output: Contribution to journal › Article › peer-review

Harvard

Ivanov, OA 1984, 'Quadratic forms of closed manifolds', Journal of Soviet Mathematics, vol. 26, no. 1, pp. 1664-1667. https://doi.org/10.1007/BF01106441

APA

Ivanov, O. A. (1984). Quadratic forms of closed manifolds. Journal of Soviet Mathematics, 26(1), 1664-1667. https://doi.org/10.1007/BF01106441

Vancouver

Ivanov OA. Quadratic forms of closed manifolds. Journal of Soviet Mathematics. 1984 Jul 1;26(1):1664-1667. https://doi.org/10.1007/BF01106441

Author

Ivanov, O. A. / Quadratic forms of closed manifolds. In: Journal of Soviet Mathematics. 1984 ; Vol. 26, No. 1. pp. 1664-1667.

BibTeX

@article{d148821eb9ef45a0a50b180716789e78,
title = "Quadratic forms of closed manifolds",
abstract = "In this paper it is shown that for any integral-valued unimodular quadratic form and any number n of the form 8k + 4 (where k≥1), there exists a smooth closed n-dimensional manifold with this quadratic form. The proof is based on the construction (with the help of the {"}plumbing{"} construction) of smooth closed three-connected eight-dimensional manifolds with given form.",
author = "Ivanov, {O. A.}",
year = "1984",
month = jul,
day = "1",
doi = "10.1007/BF01106441",
language = "English",
volume = "26",
pages = "1664--1667",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Quadratic forms of closed manifolds

AU - Ivanov, O. A.

PY - 1984/7/1

Y1 - 1984/7/1

N2 - In this paper it is shown that for any integral-valued unimodular quadratic form and any number n of the form 8k + 4 (where k≥1), there exists a smooth closed n-dimensional manifold with this quadratic form. The proof is based on the construction (with the help of the "plumbing" construction) of smooth closed three-connected eight-dimensional manifolds with given form.

AB - In this paper it is shown that for any integral-valued unimodular quadratic form and any number n of the form 8k + 4 (where k≥1), there exists a smooth closed n-dimensional manifold with this quadratic form. The proof is based on the construction (with the help of the "plumbing" construction) of smooth closed three-connected eight-dimensional manifolds with given form.

UR - http://www.scopus.com/inward/record.url?scp=34250141136&partnerID=8YFLogxK

U2 - 10.1007/BF01106441

DO - 10.1007/BF01106441

M3 - Article

AN - SCOPUS:34250141136

VL - 26

SP - 1664

EP - 1667

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 36968001