Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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/}
}
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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/