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

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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.
DOI : 10.4171/dm/171
Classification : 52B70, 53C42, 57Q35
Mots-clés : intersection form, tight polyhedra, polyhedral handles, tight surgery 
Wolfgang Kühnel. Tight embeddings of simply connected $4$-manifolds. Documenta mathematica, Tome 9 (2004), pp. 401-412. doi: 10.4171/dm/171
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     author = {Wolfgang K\"uhnel},
     title = {Tight embeddings of simply connected $4$-manifolds},
     journal = {Documenta mathematica},
     pages = {401--412},
     year = {2004},
     volume = {9},
     doi = {10.4171/dm/171},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/171/}
}
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