On the intersection form of a manifold glued from several manifolds
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 143-145

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The intersection form in the middle homology of a closed oriented $4k$-manifold glued from several compact oriented manifolds with boundary is described under the assumption that the intersection forms of all “parts” are nondegenerate and the boundaries are glued together along open-closed parts.
@article{ZNSL_2000_267_a7,
     author = {O. A. Ivanov},
     title = {On the intersection form of a manifold glued from several manifolds},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {143--145},
     publisher = {mathdoc},
     volume = {267},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a7/}
}
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O. A. Ivanov. On the intersection form of a manifold glued from several manifolds. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 143-145. http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a7/