Geodesic
Tight embeddings of simply connected $4$-manifolds
Documenta mathematica, Tome 9 (2004), pp. 401-412.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The classification of compact and simply connected PL 4-manifolds states that the homeomorphism classes coincide with the homotopy classes, and that these are classified by the intersection form. We show here that "most" of these classes with an indefinite intersection form can be represented by a tight polyhedral embedding into some Euclidean space. It remains open which of the PL structures can be realized in such a way.
Classification : 52B70, 53C42, 57Q35
Keywords: intersection form, tight polyhedra, polyhedral handles, tight surgery 
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     author = {K\"uhnel, Wolfgang},
     title = {Tight embeddings of simply connected $4$-manifolds},
     journal = {Documenta mathematica},
     pages = {401--412},
     publisher = {mathdoc},
     volume = {9},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a11/}
}
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Kühnel, Wolfgang. Tight embeddings of simply connected $4$-manifolds. Documenta mathematica, Tome 9 (2004), pp. 401-412. http://geodesic.mathdoc.fr/item/DOCMA_2004__9__a11/