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Cobordisms of finite quadratic forms and glueing of oriented manifolds. (Russian. English summary) Zbl 0832.57015
Summary: We develop some techniques of discriminant forms using, as we describe it, the intersection form of a $$4k$$-manifold glued together from two other manifolds. The description uses the notion of fusion of finite forms introduced in the paper. It is closely connected with a more familiar notion of cobordism of such forms.

##### MSC:
 57R19 Algebraic topology on manifolds and differential topology 57R65 Surgery and handlebodies 11E39 Bilinear and Hermitian forms
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