Research output: Contribution to journal › Article › peer-review
Cobordisms of finite quadratic forms and gluing oriented manifolds. / Ivanov, O. A.; Netsvetaev, N. Yu.
In: Journal of Mathematical Sciences, Vol. 81, No. 2, 01.01.1996, p. 2524-2534.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Cobordisms of finite quadratic forms and gluing oriented manifolds
AU - Ivanov, O. A.
AU - Netsvetaev, N. Yu
PY - 1996/1/1
Y1 - 1996/1/1
N2 - We develop certain discriminant form techniques allowing one to "glue" two integral lattices into a new lattice. In particular, we introduce the notion of fusion of finite forms, which is closely connected with the more familiar notion of cobordism of such forms. We also consider the category of finite forms and their cobordisms. These techniques are used for describing the intersection form of a compact oriented 4k-manifold M obtained by gluing together two manifolds M1 and M2 along one or several boundary components (the intersection forms of M1 and M2 are assumed to be nondegenerate).
AB - We develop certain discriminant form techniques allowing one to "glue" two integral lattices into a new lattice. In particular, we introduce the notion of fusion of finite forms, which is closely connected with the more familiar notion of cobordism of such forms. We also consider the category of finite forms and their cobordisms. These techniques are used for describing the intersection form of a compact oriented 4k-manifold M obtained by gluing together two manifolds M1 and M2 along one or several boundary components (the intersection forms of M1 and M2 are assumed to be nondegenerate).
UR - http://www.scopus.com/inward/record.url?scp=53349109332&partnerID=8YFLogxK
U2 - 10.1007/BF02362422
DO - 10.1007/BF02362422
M3 - Article
AN - SCOPUS:53349109332
VL - 81
SP - 2524
EP - 2534
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 2
ER -
ID: 36967840