A new construction of 6-manifolds

Beyaz, Ahmet

doi:10.1090/S0002-9947-08-04462-0

A new construction of $6$-manifolds
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Trans. Amer. Math. Soc. 360 (2008), 4409-4424 Request permission

Abstract:

This paper provides a topological method to construct all simply-connected, spin, smooth $6$-manifolds with torsion-free homology using simply-connected, smooth $4$-manifolds as building blocks. We explicitly determine the invariants that classify these $6$-manifolds from the intersection form and specific homology classes of the $4$-manifold building blocks.

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